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Finding the Fourth Proportional to 233.77, 322.56 and 160.06

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Solution

The fourth proportional to 233.77, 322.56 and 160.06 is: 220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.77 : 322.56 = 160.06 : x
  2. Step 2: Convert to fraction form
    233.77/322.56 = 160.06/x
  3. Step 3: Cross multiply
    233.77x = 322.56 × 160.06
  4. Step 4: Simplify right side
    233.77x = 51,628.30
  5. Step 5: Solve for x
    x = 51,628.30/233.77
  6. Step 6: Final answer
    x = 220.85

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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.