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Finding the Fourth Proportional to 426.14, 638.78 and 152.00

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Solution

The fourth proportional to 426.14, 638.78 and 152.00 is: 227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.14 : 638.78 = 152.00 : x
  2. Step 2: Convert to fraction form
    426.14/638.78 = 152.00/x
  3. Step 3: Cross multiply
    426.14x = 638.78 × 152.00
  4. Step 4: Simplify right side
    426.14x = 97,090.61
  5. Step 5: Solve for x
    x = 97,090.61/426.14
  6. Step 6: Final answer
    x = 227.84

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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.