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Finding the Fourth Proportional to 176.87, 266.34 and 154.31

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Solution

The fourth proportional to 176.87, 266.34 and 154.31 is: 232.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.87 : 266.34 = 154.31 : x
  2. Step 2: Convert to fraction form
    176.87/266.34 = 154.31/x
  3. Step 3: Cross multiply
    176.87x = 266.34 × 154.31
  4. Step 4: Simplify right side
    176.87x = 41,097.59
  5. Step 5: Solve for x
    x = 41,097.59/176.87
  6. Step 6: Final answer
    x = 232.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.