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Finding the Fourth Proportional to 233.80, 322.38 and 160.16

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Solution

The fourth proportional to 233.80, 322.38 and 160.16 is: 220.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.80 : 322.38 = 160.16 : x
  2. Step 2: Convert to fraction form
    233.80/322.38 = 160.16/x
  3. Step 3: Cross multiply
    233.80x = 322.38 × 160.16
  4. Step 4: Simplify right side
    233.80x = 51,632.38
  5. Step 5: Solve for x
    x = 51,632.38/233.80
  6. Step 6: Final answer
    x = 220.84

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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.