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Finding the Fourth Proportional to 206.29, 284.55 and 157.06

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Solution

The fourth proportional to 206.29, 284.55 and 157.06 is: 216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.29 : 284.55 = 157.06 : x
  2. Step 2: Convert to fraction form
    206.29/284.55 = 157.06/x
  3. Step 3: Cross multiply
    206.29x = 284.55 × 157.06
  4. Step 4: Simplify right side
    206.29x = 44,691.42
  5. Step 5: Solve for x
    x = 44,691.42/206.29
  6. Step 6: Final answer
    x = 216.64

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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.