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Finding the Fourth Proportional to 360.35, 497.14 and 205.10

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Solution

The fourth proportional to 360.35, 497.14 and 205.10 is: 282.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.35 : 497.14 = 205.10 : x
  2. Step 2: Convert to fraction form
    360.35/497.14 = 205.10/x
  3. Step 3: Cross multiply
    360.35x = 497.14 × 205.10
  4. Step 4: Simplify right side
    360.35x = 101,962.28
  5. Step 5: Solve for x
    x = 101,962.28/360.35
  6. Step 6: Final answer
    x = 282.95

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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.