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Finding the Fourth Proportional to 233.84, 322.80 and 178.76

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Solution

The fourth proportional to 233.84, 322.80 and 178.76 is: 246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 322.80 = 178.76 : x
  2. Step 2: Convert to fraction form
    233.84/322.80 = 178.76/x
  3. Step 3: Cross multiply
    233.84x = 322.80 × 178.76
  4. Step 4: Simplify right side
    233.84x = 57,703.73
  5. Step 5: Solve for x
    x = 57,703.73/233.84
  6. Step 6: Final answer
    x = 246.77

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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.