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Finding the Fourth Proportional to 305.47, 457.97 and 143.06

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Solution

The fourth proportional to 305.47, 457.97 and 143.06 is: 214.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.47 : 457.97 = 143.06 : x
  2. Step 2: Convert to fraction form
    305.47/457.97 = 143.06/x
  3. Step 3: Cross multiply
    305.47x = 457.97 × 143.06
  4. Step 4: Simplify right side
    305.47x = 65,517.19
  5. Step 5: Solve for x
    x = 65,517.19/305.47
  6. Step 6: Final answer
    x = 214.48

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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.