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Finding the Fourth Proportional to 467.22, 700.34 and 158.78

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Solution

The fourth proportional to 467.22, 700.34 and 158.78 is: 238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.22 : 700.34 = 158.78 : x
  2. Step 2: Convert to fraction form
    467.22/700.34 = 158.78/x
  3. Step 3: Cross multiply
    467.22x = 700.34 × 158.78
  4. Step 4: Simplify right side
    467.22x = 111,199.99
  5. Step 5: Solve for x
    x = 111,199.99/467.22
  6. Step 6: Final answer
    x = 238.00

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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.