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Finding the Fourth Proportional to 237.59, 327.77 and 175.56

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Solution

The fourth proportional to 237.59, 327.77 and 175.56 is: 242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.59 : 327.77 = 175.56 : x
  2. Step 2: Convert to fraction form
    237.59/327.77 = 175.56/x
  3. Step 3: Cross multiply
    237.59x = 327.77 × 175.56
  4. Step 4: Simplify right side
    237.59x = 57,543.74
  5. Step 5: Solve for x
    x = 57,543.74/237.59
  6. Step 6: Final answer
    x = 242.20

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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.