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Finding the Fourth Proportional to 229.50, 342.90 and 177.84

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Solution

The fourth proportional to 229.50, 342.90 and 177.84 is: 265.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.50 : 342.90 = 177.84 : x
  2. Step 2: Convert to fraction form
    229.50/342.90 = 177.84/x
  3. Step 3: Cross multiply
    229.50x = 342.90 × 177.84
  4. Step 4: Simplify right side
    229.50x = 60,981.34
  5. Step 5: Solve for x
    x = 60,981.34/229.50
  6. Step 6: Final answer
    x = 265.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.