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Finding the Fourth Proportional to 176.87, 265.29 and 105.18

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Solution

The fourth proportional to 176.87, 265.29 and 105.18 is: 157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.87 : 265.29 = 105.18 : x
  2. Step 2: Convert to fraction form
    176.87/265.29 = 105.18/x
  3. Step 3: Cross multiply
    176.87x = 265.29 × 105.18
  4. Step 4: Simplify right side
    176.87x = 27,903.20
  5. Step 5: Solve for x
    x = 27,903.20/176.87
  6. Step 6: Final answer
    x = 157.76

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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.