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Finding the Fourth Proportional to 306.13, 459.10 and 100.64

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Solution

The fourth proportional to 306.13, 459.10 and 100.64 is: 150.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.13 : 459.10 = 100.64 : x
  2. Step 2: Convert to fraction form
    306.13/459.10 = 100.64/x
  3. Step 3: Cross multiply
    306.13x = 459.10 × 100.64
  4. Step 4: Simplify right side
    306.13x = 46,204.67
  5. Step 5: Solve for x
    x = 46,204.67/306.13
  6. Step 6: Final answer
    x = 150.93

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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.