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Finding the Fourth Proportional to 822.45, 1,233.65 and 206.16

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Solution

The fourth proportional to 822.45, 1,233.65 and 206.16 is: 309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.45 : 1,233.65 = 206.16 : x
  2. Step 2: Convert to fraction form
    822.45/1,233.65 = 206.16/x
  3. Step 3: Cross multiply
    822.45x = 1,233.65 × 206.16
  4. Step 4: Simplify right side
    822.45x = 254,330.31
  5. Step 5: Solve for x
    x = 254,330.31/822.45
  6. Step 6: Final answer
    x = 309.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.