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Finding the Fourth Proportional to 233.85, 322.70 and 134.28

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Solution

The fourth proportional to 233.85, 322.70 and 134.28 is: 185.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.85 : 322.70 = 134.28 : x
  2. Step 2: Convert to fraction form
    233.85/322.70 = 134.28/x
  3. Step 3: Cross multiply
    233.85x = 322.70 × 134.28
  4. Step 4: Simplify right side
    233.85x = 43,332.62
  5. Step 5: Solve for x
    x = 43,332.62/233.85
  6. Step 6: Final answer
    x = 185.30

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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.