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Finding the Fourth Proportional to 234.84, 324 and 176.76

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Solution

The fourth proportional to 234.84, 324 and 176.76 is: 243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.84 : 324 = 176.76 : x
  2. Step 2: Convert to fraction form
    234.84/324 = 176.76/x
  3. Step 3: Cross multiply
    234.84x = 324 × 176.76
  4. Step 4: Simplify right side
    234.84x = 57,270.24
  5. Step 5: Solve for x
    x = 57,270.24/234.84
  6. Step 6: Final answer
    x = 243.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.