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Finding the Fourth Proportional to 238.24, 357.33 and 177.46

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Solution

The fourth proportional to 238.24, 357.33 and 177.46 is: 266.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.24 : 357.33 = 177.46 : x
  2. Step 2: Convert to fraction form
    238.24/357.33 = 177.46/x
  3. Step 3: Cross multiply
    238.24x = 357.33 × 177.46
  4. Step 4: Simplify right side
    238.24x = 63,411.78
  5. Step 5: Solve for x
    x = 63,411.78/238.24
  6. Step 6: Final answer
    x = 266.17

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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.