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Finding the Fourth Proportional to 233.64, 349.74 and 185.04

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Solution

The fourth proportional to 233.64, 349.74 and 185.04 is: 276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 349.74 = 185.04 : x
  2. Step 2: Convert to fraction form
    233.64/349.74 = 185.04/x
  3. Step 3: Cross multiply
    233.64x = 349.74 × 185.04
  4. Step 4: Simplify right side
    233.64x = 64,715.89
  5. Step 5: Solve for x
    x = 64,715.89/233.64
  6. Step 6: Final answer
    x = 276.99

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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.