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Finding the Fourth Proportional to 147.05, 220.68 and 118.51

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Solution

The fourth proportional to 147.05, 220.68 and 118.51 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.05 : 220.68 = 118.51 : x
  2. Step 2: Convert to fraction form
    147.05/220.68 = 118.51/x
  3. Step 3: Cross multiply
    147.05x = 220.68 × 118.51
  4. Step 4: Simplify right side
    147.05x = 26,152.79
  5. Step 5: Solve for x
    x = 26,152.79/147.05
  6. Step 6: Final answer
    x = 177.85

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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.