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Finding the Fourth Proportional to 426.62, 640.02 and 152.70

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Solution

The fourth proportional to 426.62, 640.02 and 152.70 is: 229.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.62 : 640.02 = 152.70 : x
  2. Step 2: Convert to fraction form
    426.62/640.02 = 152.70/x
  3. Step 3: Cross multiply
    426.62x = 640.02 × 152.70
  4. Step 4: Simplify right side
    426.62x = 97,731.05
  5. Step 5: Solve for x
    x = 97,731.05/426.62
  6. Step 6: Final answer
    x = 229.08

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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.