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Finding the Fourth Proportional to 292.20, 438.28 and 147.91

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Solution

The fourth proportional to 292.20, 438.28 and 147.91 is: 221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 438.28 = 147.91 : x
  2. Step 2: Convert to fraction form
    292.20/438.28 = 147.91/x
  3. Step 3: Cross multiply
    292.20x = 438.28 × 147.91
  4. Step 4: Simplify right side
    292.20x = 64,825.63
  5. Step 5: Solve for x
    x = 64,825.63/292.20
  6. Step 6: Final answer
    x = 221.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.