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Finding the Fourth Proportional to 176.53, 265.11 and 153.85

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Solution

The fourth proportional to 176.53, 265.11 and 153.85 is: 231.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.53 : 265.11 = 153.85 : x
  2. Step 2: Convert to fraction form
    176.53/265.11 = 153.85/x
  3. Step 3: Cross multiply
    176.53x = 265.11 × 153.85
  4. Step 4: Simplify right side
    176.53x = 40,785.93
  5. Step 5: Solve for x
    x = 40,785.93/176.53
  6. Step 6: Final answer
    x = 231.05

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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.