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Finding the Fourth Proportional to 305.07, 457.70 and 142.86

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Solution

The fourth proportional to 305.07, 457.70 and 142.86 is: 214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.07 : 457.70 = 142.86 : x
  2. Step 2: Convert to fraction form
    305.07/457.70 = 142.86/x
  3. Step 3: Cross multiply
    305.07x = 457.70 × 142.86
  4. Step 4: Simplify right side
    305.07x = 65,387.02
  5. Step 5: Solve for x
    x = 65,387.02/305.07
  6. Step 6: Final answer
    x = 214.33

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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.