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Finding the Fourth Proportional to 306.24, 459.24 and 100.77

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Solution

The fourth proportional to 306.24, 459.24 and 100.77 is: 151.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.24 : 459.24 = 100.77 : x
  2. Step 2: Convert to fraction form
    306.24/459.24 = 100.77/x
  3. Step 3: Cross multiply
    306.24x = 459.24 × 100.77
  4. Step 4: Simplify right side
    306.24x = 46,277.61
  5. Step 5: Solve for x
    x = 46,277.61/306.24
  6. Step 6: Final answer
    x = 151.12

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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.