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Finding the Fourth Proportional to 147.96, 220.31 and 145.77

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Solution

The fourth proportional to 147.96, 220.31 and 145.77 is: 217.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.96 : 220.31 = 145.77 : x
  2. Step 2: Convert to fraction form
    147.96/220.31 = 145.77/x
  3. Step 3: Cross multiply
    147.96x = 220.31 × 145.77
  4. Step 4: Simplify right side
    147.96x = 32,113.86
  5. Step 5: Solve for x
    x = 32,113.86/147.96
  6. Step 6: Final answer
    x = 217.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.