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Finding the Fourth Proportional to 233.66, 322.50 and 159.86

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Solution

The fourth proportional to 233.66, 322.50 and 159.86 is: 220.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.66 : 322.50 = 159.86 : x
  2. Step 2: Convert to fraction form
    233.66/322.50 = 159.86/x
  3. Step 3: Cross multiply
    233.66x = 322.50 × 159.86
  4. Step 4: Simplify right side
    233.66x = 51,554.85
  5. Step 5: Solve for x
    x = 51,554.85/233.66
  6. Step 6: Final answer
    x = 220.64

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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.