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Finding the Fourth Proportional to 233.04, 349.02 and 185.70

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Solution

The fourth proportional to 233.04, 349.02 and 185.70 is: 278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.04 : 349.02 = 185.70 : x
  2. Step 2: Convert to fraction form
    233.04/349.02 = 185.70/x
  3. Step 3: Cross multiply
    233.04x = 349.02 × 185.70
  4. Step 4: Simplify right side
    233.04x = 64,813.01
  5. Step 5: Solve for x
    x = 64,813.01/233.04
  6. Step 6: Final answer
    x = 278.12

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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.