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Finding the Fourth Proportional to 306.88, 459.71 and 185.08

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Solution

The fourth proportional to 306.88, 459.71 and 185.08 is: 277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.88 : 459.71 = 185.08 : x
  2. Step 2: Convert to fraction form
    306.88/459.71 = 185.08/x
  3. Step 3: Cross multiply
    306.88x = 459.71 × 185.08
  4. Step 4: Simplify right side
    306.88x = 85,083.13
  5. Step 5: Solve for x
    x = 85,083.13/306.88
  6. Step 6: Final answer
    x = 277.25

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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.