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Finding the Fourth Proportional to 176.74, 265.14 and 154.20

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Solution

The fourth proportional to 176.74, 265.14 and 154.20 is: 231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.74 : 265.14 = 154.20 : x
  2. Step 2: Convert to fraction form
    176.74/265.14 = 154.20/x
  3. Step 3: Cross multiply
    176.74x = 265.14 × 154.20
  4. Step 4: Simplify right side
    176.74x = 40,884.59
  5. Step 5: Solve for x
    x = 40,884.59/176.74
  6. Step 6: Final answer
    x = 231.33

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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.