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Finding the Fourth Proportional to 306.50, 459.66 and 101.02

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Solution

The fourth proportional to 306.50, 459.66 and 101.02 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 459.66 = 101.02 : x
  2. Step 2: Convert to fraction form
    306.50/459.66 = 101.02/x
  3. Step 3: Cross multiply
    306.50x = 459.66 × 101.02
  4. Step 4: Simplify right side
    306.50x = 46,433.70
  5. Step 5: Solve for x
    x = 46,433.70/306.50
  6. Step 6: Final answer
    x = 151.50

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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.