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Finding the Fourth Proportional to 233.84, 322.52 and 155.14

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Solution

The fourth proportional to 233.84, 322.52 and 155.14 is: 213.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.84 : 322.52 = 155.14 : x
  2. Step 2: Convert to fraction form
    233.84/322.52 = 155.14/x
  3. Step 3: Cross multiply
    233.84x = 322.52 × 155.14
  4. Step 4: Simplify right side
    233.84x = 50,034.17
  5. Step 5: Solve for x
    x = 50,034.17/233.84
  6. Step 6: Final answer
    x = 213.97

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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.