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Finding the Fourth Proportional to 233.64, 322.38 and 160.02

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Solution

The fourth proportional to 233.64, 322.38 and 160.02 is: 220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 322.38 = 160.02 : x
  2. Step 2: Convert to fraction form
    233.64/322.38 = 160.02/x
  3. Step 3: Cross multiply
    233.64x = 322.38 × 160.02
  4. Step 4: Simplify right side
    233.64x = 51,587.25
  5. Step 5: Solve for x
    x = 51,587.25/233.64
  6. Step 6: Final answer
    x = 220.80

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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.