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Finding the Fourth Proportional to 305.24, 457.64 and 142.83

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Solution

The fourth proportional to 305.24, 457.64 and 142.83 is: 214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.24 : 457.64 = 142.83 : x
  2. Step 2: Convert to fraction form
    305.24/457.64 = 142.83/x
  3. Step 3: Cross multiply
    305.24x = 457.64 × 142.83
  4. Step 4: Simplify right side
    305.24x = 65,366.22
  5. Step 5: Solve for x
    x = 65,366.22/305.24
  6. Step 6: Final answer
    x = 214.15

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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.