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Finding the Fourth Proportional to 284.57, 427.14 and 147.57

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Solution

The fourth proportional to 284.57, 427.14 and 147.57 is: 221.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.57 : 427.14 = 147.57 : x
  2. Step 2: Convert to fraction form
    284.57/427.14 = 147.57/x
  3. Step 3: Cross multiply
    284.57x = 427.14 × 147.57
  4. Step 4: Simplify right side
    284.57x = 63,034.65
  5. Step 5: Solve for x
    x = 63,034.65/284.57
  6. Step 6: Final answer
    x = 221.51

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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.