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Finding the Fourth Proportional to 265.64, 398.12 and 157.48

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Solution

The fourth proportional to 265.64, 398.12 and 157.48 is: 236.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.64 : 398.12 = 157.48 : x
  2. Step 2: Convert to fraction form
    265.64/398.12 = 157.48/x
  3. Step 3: Cross multiply
    265.64x = 398.12 × 157.48
  4. Step 4: Simplify right side
    265.64x = 62,695.94
  5. Step 5: Solve for x
    x = 62,695.94/265.64
  6. Step 6: Final answer
    x = 236.02

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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.