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Finding the Fourth Proportional to 265.66, 398.63 and 143.92

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Solution

The fourth proportional to 265.66, 398.63 and 143.92 is: 215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.66 : 398.63 = 143.92 : x
  2. Step 2: Convert to fraction form
    265.66/398.63 = 143.92/x
  3. Step 3: Cross multiply
    265.66x = 398.63 × 143.92
  4. Step 4: Simplify right side
    265.66x = 57,370.83
  5. Step 5: Solve for x
    x = 57,370.83/265.66
  6. Step 6: Final answer
    x = 215.96

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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.