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Finding the Fourth Proportional to 178.61, 268.16 and 174.35

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Solution

The fourth proportional to 178.61, 268.16 and 174.35 is: 261.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.61 : 268.16 = 174.35 : x
  2. Step 2: Convert to fraction form
    178.61/268.16 = 174.35/x
  3. Step 3: Cross multiply
    178.61x = 268.16 × 174.35
  4. Step 4: Simplify right side
    178.61x = 46,754.48
  5. Step 5: Solve for x
    x = 46,754.48/178.61
  6. Step 6: Final answer
    x = 261.78

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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.