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Finding the Fourth Proportional to 238.70, 357.82 and 151.76

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Solution

The fourth proportional to 238.70, 357.82 and 151.76 is: 227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.70 : 357.82 = 151.76 : x
  2. Step 2: Convert to fraction form
    238.70/357.82 = 151.76/x
  3. Step 3: Cross multiply
    238.70x = 357.82 × 151.76
  4. Step 4: Simplify right side
    238.70x = 54,303.47
  5. Step 5: Solve for x
    x = 54,303.47/238.70
  6. Step 6: Final answer
    x = 227.50

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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.