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Finding the Fourth Proportional to 233.55, 322.04 and 159.92

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Solution

The fourth proportional to 233.55, 322.04 and 159.92 is: 220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.55 : 322.04 = 159.92 : x
  2. Step 2: Convert to fraction form
    233.55/322.04 = 159.92/x
  3. Step 3: Cross multiply
    233.55x = 322.04 × 159.92
  4. Step 4: Simplify right side
    233.55x = 51,498.23
  5. Step 5: Solve for x
    x = 51,498.23/233.55
  6. Step 6: Final answer
    x = 220.50

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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.