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Finding the Fourth Proportional to 265.74, 398.40 and 103.32

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Solution

The fourth proportional to 265.74, 398.40 and 103.32 is: 154.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.74 : 398.40 = 103.32 : x
  2. Step 2: Convert to fraction form
    265.74/398.40 = 103.32/x
  3. Step 3: Cross multiply
    265.74x = 398.40 × 103.32
  4. Step 4: Simplify right side
    265.74x = 41,162.69
  5. Step 5: Solve for x
    x = 41,162.69/265.74
  6. Step 6: Final answer
    x = 154.90

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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.