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Finding the Fourth Proportional to 233.50, 322.04 and 150.61

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Solution

The fourth proportional to 233.50, 322.04 and 150.61 is: 207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.50 : 322.04 = 150.61 : x
  2. Step 2: Convert to fraction form
    233.50/322.04 = 150.61/x
  3. Step 3: Cross multiply
    233.50x = 322.04 × 150.61
  4. Step 4: Simplify right side
    233.50x = 48,502.44
  5. Step 5: Solve for x
    x = 48,502.44/233.50
  6. Step 6: Final answer
    x = 207.72

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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.