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Finding the Fourth Proportional to 294.13, 440.99 and 145.86

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Solution

The fourth proportional to 294.13, 440.99 and 145.86 is: 218.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.13 : 440.99 = 145.86 : x
  2. Step 2: Convert to fraction form
    294.13/440.99 = 145.86/x
  3. Step 3: Cross multiply
    294.13x = 440.99 × 145.86
  4. Step 4: Simplify right side
    294.13x = 64,322.80
  5. Step 5: Solve for x
    x = 64,322.80/294.13
  6. Step 6: Final answer
    x = 218.69

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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.