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Finding the Fourth Proportional to 159.74, 220.26 and 147.18

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Solution

The fourth proportional to 159.74, 220.26 and 147.18 is: 202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.74 : 220.26 = 147.18 : x
  2. Step 2: Convert to fraction form
    159.74/220.26 = 147.18/x
  3. Step 3: Cross multiply
    159.74x = 220.26 × 147.18
  4. Step 4: Simplify right side
    159.74x = 32,417.87
  5. Step 5: Solve for x
    x = 32,417.87/159.74
  6. Step 6: Final answer
    x = 202.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.