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Finding the Fourth Proportional to 188.71, 260.62 and 147.20

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Solution

The fourth proportional to 188.71, 260.62 and 147.20 is: 203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.71 : 260.62 = 147.20 : x
  2. Step 2: Convert to fraction form
    188.71/260.62 = 147.20/x
  3. Step 3: Cross multiply
    188.71x = 260.62 × 147.20
  4. Step 4: Simplify right side
    188.71x = 38,363.26
  5. Step 5: Solve for x
    x = 38,363.26/188.71
  6. Step 6: Final answer
    x = 203.29

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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.