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Finding the Fourth Proportional to 305.41, 457.71 and 142.74

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Solution

The fourth proportional to 305.41, 457.71 and 142.74 is: 213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.41 : 457.71 = 142.74 : x
  2. Step 2: Convert to fraction form
    305.41/457.71 = 142.74/x
  3. Step 3: Cross multiply
    305.41x = 457.71 × 142.74
  4. Step 4: Simplify right side
    305.41x = 65,333.53
  5. Step 5: Solve for x
    x = 65,333.53/305.41
  6. Step 6: Final answer
    x = 213.92

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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.