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Finding the Fourth Proportional to 233.13, 351.54 and 230.04

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Solution

The fourth proportional to 233.13, 351.54 and 230.04 is: 346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.13 : 351.54 = 230.04 : x
  2. Step 2: Convert to fraction form
    233.13/351.54 = 230.04/x
  3. Step 3: Cross multiply
    233.13x = 351.54 × 230.04
  4. Step 4: Simplify right side
    233.13x = 80,868.26
  5. Step 5: Solve for x
    x = 80,868.26/233.13
  6. Step 6: Final answer
    x = 346.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.