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Finding the Fourth Proportional to 284.88, 427.12 and 147.86

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Solution

The fourth proportional to 284.88, 427.12 and 147.86 is: 221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.88 : 427.12 = 147.86 : x
  2. Step 2: Convert to fraction form
    284.88/427.12 = 147.86/x
  3. Step 3: Cross multiply
    284.88x = 427.12 × 147.86
  4. Step 4: Simplify right side
    284.88x = 63,153.96
  5. Step 5: Solve for x
    x = 63,153.96/284.88
  6. Step 6: Final answer
    x = 221.69

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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.