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Finding the Fourth Proportional to 293.29, 440 and 100.91

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Solution

The fourth proportional to 293.29, 440 and 100.91 is: 151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.29 : 440 = 100.91 : x
  2. Step 2: Convert to fraction form
    293.29/440 = 100.91/x
  3. Step 3: Cross multiply
    293.29x = 440 × 100.91
  4. Step 4: Simplify right side
    293.29x = 44,400.40
  5. Step 5: Solve for x
    x = 44,400.40/293.29
  6. Step 6: Final answer
    x = 151.39

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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.