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Finding the Fourth Proportional to 233.76, 349.68 and 194.88

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Solution

The fourth proportional to 233.76, 349.68 and 194.88 is: 291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.76 : 349.68 = 194.88 : x
  2. Step 2: Convert to fraction form
    233.76/349.68 = 194.88/x
  3. Step 3: Cross multiply
    233.76x = 349.68 × 194.88
  4. Step 4: Simplify right side
    233.76x = 68,145.64
  5. Step 5: Solve for x
    x = 68,145.64/233.76
  6. Step 6: Final answer
    x = 291.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.