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Finding the Fourth Proportional to 292.34, 438.10 and 147.89

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Solution

The fourth proportional to 292.34, 438.10 and 147.89 is: 221.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.34 : 438.10 = 147.89 : x
  2. Step 2: Convert to fraction form
    292.34/438.10 = 147.89/x
  3. Step 3: Cross multiply
    292.34x = 438.10 × 147.89
  4. Step 4: Simplify right side
    292.34x = 64,788.05
  5. Step 5: Solve for x
    x = 64,788.05/292.34
  6. Step 6: Final answer
    x = 221.62

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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.