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Finding the Fourth Proportional to 237.84, 356.07 and 176.55

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Solution

The fourth proportional to 237.84, 356.07 and 176.55 is: 264.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 356.07 = 176.55 : x
  2. Step 2: Convert to fraction form
    237.84/356.07 = 176.55/x
  3. Step 3: Cross multiply
    237.84x = 356.07 × 176.55
  4. Step 4: Simplify right side
    237.84x = 62,865.99
  5. Step 5: Solve for x
    x = 62,865.99/237.84
  6. Step 6: Final answer
    x = 264.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.