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Finding the Fourth Proportional to 176.87, 265.18 and 118.95

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Solution

The fourth proportional to 176.87, 265.18 and 118.95 is: 178.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.87 : 265.18 = 118.95 : x
  2. Step 2: Convert to fraction form
    176.87/265.18 = 118.95/x
  3. Step 3: Cross multiply
    176.87x = 265.18 × 118.95
  4. Step 4: Simplify right side
    176.87x = 31,541.90
  5. Step 5: Solve for x
    x = 31,541.90/176.87
  6. Step 6: Final answer
    x = 178.34

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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.