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Finding the Fourth Proportional to 265.89, 398.57 and 174.63

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Solution

The fourth proportional to 265.89, 398.57 and 174.63 is: 261.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.89 : 398.57 = 174.63 : x
  2. Step 2: Convert to fraction form
    265.89/398.57 = 174.63/x
  3. Step 3: Cross multiply
    265.89x = 398.57 × 174.63
  4. Step 4: Simplify right side
    265.89x = 69,601.41
  5. Step 5: Solve for x
    x = 69,601.41/265.89
  6. Step 6: Final answer
    x = 261.77

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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.