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Finding the Fourth Proportional to 306.98, 459.64 and 185.08

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Solution

The fourth proportional to 306.98, 459.64 and 185.08 is: 277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.98 : 459.64 = 185.08 : x
  2. Step 2: Convert to fraction form
    306.98/459.64 = 185.08/x
  3. Step 3: Cross multiply
    306.98x = 459.64 × 185.08
  4. Step 4: Simplify right side
    306.98x = 85,070.17
  5. Step 5: Solve for x
    x = 85,070.17/306.98
  6. Step 6: Final answer
    x = 277.12

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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.