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Finding the Fourth Proportional to 306.42, 459.68 and 98.22

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Solution

The fourth proportional to 306.42, 459.68 and 98.22 is: 147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.42 : 459.68 = 98.22 : x
  2. Step 2: Convert to fraction form
    306.42/459.68 = 98.22/x
  3. Step 3: Cross multiply
    306.42x = 459.68 × 98.22
  4. Step 4: Simplify right side
    306.42x = 45,149.77
  5. Step 5: Solve for x
    x = 45,149.77/306.42
  6. Step 6: Final answer
    x = 147.35

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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.