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Finding the Fourth Proportional to 356.72, 534.38 and 202.19

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Solution

The fourth proportional to 356.72, 534.38 and 202.19 is: 302.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.72 : 534.38 = 202.19 : x
  2. Step 2: Convert to fraction form
    356.72/534.38 = 202.19/x
  3. Step 3: Cross multiply
    356.72x = 534.38 × 202.19
  4. Step 4: Simplify right side
    356.72x = 108,044.13
  5. Step 5: Solve for x
    x = 108,044.13/356.72
  6. Step 6: Final answer
    x = 302.88

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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.