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Finding the Fourth Proportional to 284.64, 427.12 and 147.68

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Solution

The fourth proportional to 284.64, 427.12 and 147.68 is: 221.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 427.12 = 147.68 : x
  2. Step 2: Convert to fraction form
    284.64/427.12 = 147.68/x
  3. Step 3: Cross multiply
    284.64x = 427.12 × 147.68
  4. Step 4: Simplify right side
    284.64x = 63,077.08
  5. Step 5: Solve for x
    x = 63,077.08/284.64
  6. Step 6: Final answer
    x = 221.60

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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.