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Finding the Fourth Proportional to 284.84, 427.04 and 147.92

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Solution

The fourth proportional to 284.84, 427.04 and 147.92 is: 221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.84 : 427.04 = 147.92 : x
  2. Step 2: Convert to fraction form
    284.84/427.04 = 147.92/x
  3. Step 3: Cross multiply
    284.84x = 427.04 × 147.92
  4. Step 4: Simplify right side
    284.84x = 63,167.76
  5. Step 5: Solve for x
    x = 63,167.76/284.84
  6. Step 6: Final answer
    x = 221.77

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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.