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Finding the Fourth Proportional to 284.56, 392.69 and 160.25

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Solution

The fourth proportional to 284.56, 392.69 and 160.25 is: 221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.56 : 392.69 = 160.25 : x
  2. Step 2: Convert to fraction form
    284.56/392.69 = 160.25/x
  3. Step 3: Cross multiply
    284.56x = 392.69 × 160.25
  4. Step 4: Simplify right side
    284.56x = 62,927.01
  5. Step 5: Solve for x
    x = 62,927.01/284.56
  6. Step 6: Final answer
    x = 221.14

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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.