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Finding the Fourth Proportional to 233.30, 349.65 and 206.30

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Solution

The fourth proportional to 233.30, 349.65 and 206.30 is: 309.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.30 : 349.65 = 206.30 : x
  2. Step 2: Convert to fraction form
    233.30/349.65 = 206.30/x
  3. Step 3: Cross multiply
    233.30x = 349.65 × 206.30
  4. Step 4: Simplify right side
    233.30x = 72,132.80
  5. Step 5: Solve for x
    x = 72,132.80/233.30
  6. Step 6: Final answer
    x = 309.18

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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.