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Finding the Fourth Proportional to 233.88, 351.06 and 177.24

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Solution

The fourth proportional to 233.88, 351.06 and 177.24 is: 266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 351.06 = 177.24 : x
  2. Step 2: Convert to fraction form
    233.88/351.06 = 177.24/x
  3. Step 3: Cross multiply
    233.88x = 351.06 × 177.24
  4. Step 4: Simplify right side
    233.88x = 62,221.87
  5. Step 5: Solve for x
    x = 62,221.87/233.88
  6. Step 6: Final answer
    x = 266.04

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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.