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Finding the Fourth Proportional to 293.25, 439.95 and 100.89

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Solution

The fourth proportional to 293.25, 439.95 and 100.89 is: 151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.25 : 439.95 = 100.89 : x
  2. Step 2: Convert to fraction form
    293.25/439.95 = 100.89/x
  3. Step 3: Cross multiply
    293.25x = 439.95 × 100.89
  4. Step 4: Simplify right side
    293.25x = 44,386.56
  5. Step 5: Solve for x
    x = 44,386.56/293.25
  6. Step 6: Final answer
    x = 151.36

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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.