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Finding the Fourth Proportional to 233.57, 322.14 and 159.77

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Solution

The fourth proportional to 233.57, 322.14 and 159.77 is: 220.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.57 : 322.14 = 159.77 : x
  2. Step 2: Convert to fraction form
    233.57/322.14 = 159.77/x
  3. Step 3: Cross multiply
    233.57x = 322.14 × 159.77
  4. Step 4: Simplify right side
    233.57x = 51,468.31
  5. Step 5: Solve for x
    x = 51,468.31/233.57
  6. Step 6: Final answer
    x = 220.35

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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.