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Finding the Fourth Proportional to 265.48, 398.08 and 100.88

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Solution

The fourth proportional to 265.48, 398.08 and 100.88 is: 151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.48 : 398.08 = 100.88 : x
  2. Step 2: Convert to fraction form
    265.48/398.08 = 100.88/x
  3. Step 3: Cross multiply
    265.48x = 398.08 × 100.88
  4. Step 4: Simplify right side
    265.48x = 40,157.94
  5. Step 5: Solve for x
    x = 40,157.94/265.48
  6. Step 6: Final answer
    x = 151.27

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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.