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Finding the Fourth Proportional to 360.42, 497.36 and 205.16

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Solution

The fourth proportional to 360.42, 497.36 and 205.16 is: 283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.42 : 497.36 = 205.16 : x
  2. Step 2: Convert to fraction form
    360.42/497.36 = 205.16/x
  3. Step 3: Cross multiply
    360.42x = 497.36 × 205.16
  4. Step 4: Simplify right side
    360.42x = 102,038.38
  5. Step 5: Solve for x
    x = 102,038.38/360.42
  6. Step 6: Final answer
    x = 283.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.