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Finding the Fourth Proportional to 265.60, 398.24 and 180.16

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Solution

The fourth proportional to 265.60, 398.24 and 180.16 is: 270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.60 : 398.24 = 180.16 : x
  2. Step 2: Convert to fraction form
    265.60/398.24 = 180.16/x
  3. Step 3: Cross multiply
    265.60x = 398.24 × 180.16
  4. Step 4: Simplify right side
    265.60x = 71,746.92
  5. Step 5: Solve for x
    x = 71,746.92/265.60
  6. Step 6: Final answer
    x = 270.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.