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Finding the Fourth Proportional to 293.07, 439.69 and 100.70

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Solution

The fourth proportional to 293.07, 439.69 and 100.70 is: 151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.07 : 439.69 = 100.70 : x
  2. Step 2: Convert to fraction form
    293.07/439.69 = 100.70/x
  3. Step 3: Cross multiply
    293.07x = 439.69 × 100.70
  4. Step 4: Simplify right side
    293.07x = 44,276.78
  5. Step 5: Solve for x
    x = 44,276.78/293.07
  6. Step 6: Final answer
    x = 151.08

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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.