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Finding the Fourth Proportional to 233.24, 322.00 and 154.53

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Solution

The fourth proportional to 233.24, 322.00 and 154.53 is: 213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.24 : 322.00 = 154.53 : x
  2. Step 2: Convert to fraction form
    233.24/322.00 = 154.53/x
  3. Step 3: Cross multiply
    233.24x = 322.00 × 154.53
  4. Step 4: Simplify right side
    233.24x = 49,758.27
  5. Step 5: Solve for x
    x = 49,758.27/233.24
  6. Step 6: Final answer
    x = 213.34

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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.