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Finding the Fourth Proportional to 237.95, 328.28 and 150.47

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Solution

The fourth proportional to 237.95, 328.28 and 150.47 is: 207.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.95 : 328.28 = 150.47 : x
  2. Step 2: Convert to fraction form
    237.95/328.28 = 150.47/x
  3. Step 3: Cross multiply
    237.95x = 328.28 × 150.47
  4. Step 4: Simplify right side
    237.95x = 49,393.90
  5. Step 5: Solve for x
    x = 49,393.90/237.95
  6. Step 6: Final answer
    x = 207.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.