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Finding the Fourth Proportional to 265.30, 398.06 and 103.12

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Solution

The fourth proportional to 265.30, 398.06 and 103.12 is: 154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.30 : 398.06 = 103.12 : x
  2. Step 2: Convert to fraction form
    265.30/398.06 = 103.12/x
  3. Step 3: Cross multiply
    265.30x = 398.06 × 103.12
  4. Step 4: Simplify right side
    265.30x = 41,047.95
  5. Step 5: Solve for x
    x = 41,047.95/265.30
  6. Step 6: Final answer
    x = 154.72

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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.