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Finding the Fourth Proportional to 237.66, 356.12 and 176.50

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Solution

The fourth proportional to 237.66, 356.12 and 176.50 is: 264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.66 : 356.12 = 176.50 : x
  2. Step 2: Convert to fraction form
    237.66/356.12 = 176.50/x
  3. Step 3: Cross multiply
    237.66x = 356.12 × 176.50
  4. Step 4: Simplify right side
    237.66x = 62,855.18
  5. Step 5: Solve for x
    x = 62,855.18/237.66
  6. Step 6: Final answer
    x = 264.48

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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.