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Finding the Fourth Proportional to 440.13, 660.03 and 147.58

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Solution

The fourth proportional to 440.13, 660.03 and 147.58 is: 221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.13 : 660.03 = 147.58 : x
  2. Step 2: Convert to fraction form
    440.13/660.03 = 147.58/x
  3. Step 3: Cross multiply
    440.13x = 660.03 × 147.58
  4. Step 4: Simplify right side
    440.13x = 97,407.23
  5. Step 5: Solve for x
    x = 97,407.23/440.13
  6. Step 6: Final answer
    x = 221.31

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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.