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Finding the Fourth Proportional to 265.65, 398.67 and 101.27

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Solution

The fourth proportional to 265.65, 398.67 and 101.27 is: 151.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.65 : 398.67 = 101.27 : x
  2. Step 2: Convert to fraction form
    265.65/398.67 = 101.27/x
  3. Step 3: Cross multiply
    265.65x = 398.67 × 101.27
  4. Step 4: Simplify right side
    265.65x = 40,373.31
  5. Step 5: Solve for x
    x = 40,373.31/265.65
  6. Step 6: Final answer
    x = 151.98

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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.