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Finding the Fourth Proportional to 284.57, 392.67 and 160.21

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Solution

The fourth proportional to 284.57, 392.67 and 160.21 is: 221.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.57 : 392.67 = 160.21 : x
  2. Step 2: Convert to fraction form
    284.57/392.67 = 160.21/x
  3. Step 3: Cross multiply
    284.57x = 392.67 × 160.21
  4. Step 4: Simplify right side
    284.57x = 62,909.17
  5. Step 5: Solve for x
    x = 62,909.17/284.57
  6. Step 6: Final answer
    x = 221.06

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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.