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Finding the Fourth Proportional to 305.68, 458.42 and 143.08

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Solution

The fourth proportional to 305.68, 458.42 and 143.08 is: 214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.68 : 458.42 = 143.08 : x
  2. Step 2: Convert to fraction form
    305.68/458.42 = 143.08/x
  3. Step 3: Cross multiply
    305.68x = 458.42 × 143.08
  4. Step 4: Simplify right side
    305.68x = 65,590.73
  5. Step 5: Solve for x
    x = 65,590.73/305.68
  6. Step 6: Final answer
    x = 214.57

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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.