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Finding the Fourth Proportional to 237.82, 356.90 and 176.76

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Solution

The fourth proportional to 237.82, 356.90 and 176.76 is: 265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.82 : 356.90 = 176.76 : x
  2. Step 2: Convert to fraction form
    237.82/356.90 = 176.76/x
  3. Step 3: Cross multiply
    237.82x = 356.90 × 176.76
  4. Step 4: Simplify right side
    237.82x = 63,085.64
  5. Step 5: Solve for x
    x = 63,085.64/237.82
  6. Step 6: Final answer
    x = 265.27

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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.