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Finding the Fourth Proportional to 437.57, 656.22 and 177.76

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Solution

The fourth proportional to 437.57, 656.22 and 177.76 is: 266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.57 : 656.22 = 177.76 : x
  2. Step 2: Convert to fraction form
    437.57/656.22 = 177.76/x
  3. Step 3: Cross multiply
    437.57x = 656.22 × 177.76
  4. Step 4: Simplify right side
    437.57x = 116,649.67
  5. Step 5: Solve for x
    x = 116,649.67/437.57
  6. Step 6: Final answer
    x = 266.59

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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.