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Finding the Fourth Proportional to 426.18, 639.19 and 152.27

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Solution

The fourth proportional to 426.18, 639.19 and 152.27 is: 228.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.18 : 639.19 = 152.27 : x
  2. Step 2: Convert to fraction form
    426.18/639.19 = 152.27/x
  3. Step 3: Cross multiply
    426.18x = 639.19 × 152.27
  4. Step 4: Simplify right side
    426.18x = 97,329.46
  5. Step 5: Solve for x
    x = 97,329.46/426.18
  6. Step 6: Final answer
    x = 228.38

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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.