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Finding the Fourth Proportional to 265.53, 398.01 and 174.29

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Solution

The fourth proportional to 265.53, 398.01 and 174.29 is: 261.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.53 : 398.01 = 174.29 : x
  2. Step 2: Convert to fraction form
    265.53/398.01 = 174.29/x
  3. Step 3: Cross multiply
    265.53x = 398.01 × 174.29
  4. Step 4: Simplify right side
    265.53x = 69,368.29
  5. Step 5: Solve for x
    x = 69,368.29/265.53
  6. Step 6: Final answer
    x = 261.24

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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.