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Finding the Fourth Proportional to 305.98, 458.97 and 143.57

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Solution

The fourth proportional to 305.98, 458.97 and 143.57 is: 215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.98 : 458.97 = 143.57 : x
  2. Step 2: Convert to fraction form
    305.98/458.97 = 143.57/x
  3. Step 3: Cross multiply
    305.98x = 458.97 × 143.57
  4. Step 4: Simplify right side
    305.98x = 65,894.93
  5. Step 5: Solve for x
    x = 65,894.93/305.98
  6. Step 6: Final answer
    x = 215.36

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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.