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Finding the Fourth Proportional to 306.50, 459.69 and 101.06

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Solution

The fourth proportional to 306.50, 459.69 and 101.06 is: 151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.50 : 459.69 = 101.06 : x
  2. Step 2: Convert to fraction form
    306.50/459.69 = 101.06/x
  3. Step 3: Cross multiply
    306.50x = 459.69 × 101.06
  4. Step 4: Simplify right side
    306.50x = 46,455.32
  5. Step 5: Solve for x
    x = 46,455.32/306.50
  6. Step 6: Final answer
    x = 151.57

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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.