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Finding the Fourth Proportional to 237.82, 356.90 and 176.77

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Solution

The fourth proportional to 237.82, 356.90 and 176.77 is: 265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.82 : 356.90 = 176.77 : x
  2. Step 2: Convert to fraction form
    237.82/356.90 = 176.77/x
  3. Step 3: Cross multiply
    237.82x = 356.90 × 176.77
  4. Step 4: Simplify right side
    237.82x = 63,089.21
  5. Step 5: Solve for x
    x = 63,089.21/237.82
  6. Step 6: Final answer
    x = 265.28

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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.