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Finding the Fourth Proportional to 233.76, 322.65 and 160.05

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Solution

The fourth proportional to 233.76, 322.65 and 160.05 is: 220.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 322.65 = 160.05 : x
  2. Step 2: Convert to fraction form
    233.76/322.65 = 160.05/x
  3. Step 3: Cross multiply
    233.76x = 322.65 × 160.05
  4. Step 4: Simplify right side
    233.76x = 51,640.13
  5. Step 5: Solve for x
    x = 51,640.13/233.76
  6. Step 6: Final answer
    x = 220.91

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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.