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Finding the Fourth Proportional to 233.92, 322.96 and 146.80

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Solution

The fourth proportional to 233.92, 322.96 and 146.80 is: 202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 322.96 = 146.80 : x
  2. Step 2: Convert to fraction form
    233.92/322.96 = 146.80/x
  3. Step 3: Cross multiply
    233.92x = 322.96 × 146.80
  4. Step 4: Simplify right side
    233.92x = 47,410.53
  5. Step 5: Solve for x
    x = 47,410.53/233.92
  6. Step 6: Final answer
    x = 202.68

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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.