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Finding the Fourth Proportional to 265.77, 398.14 and 174.19

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Solution

The fourth proportional to 265.77, 398.14 and 174.19 is: 260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.77 : 398.14 = 174.19 : x
  2. Step 2: Convert to fraction form
    265.77/398.14 = 174.19/x
  3. Step 3: Cross multiply
    265.77x = 398.14 × 174.19
  4. Step 4: Simplify right side
    265.77x = 69,352.01
  5. Step 5: Solve for x
    x = 69,352.01/265.77
  6. Step 6: Final answer
    x = 260.95

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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.