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Finding the Fourth Proportional to 184.14, 253.76 and 142.52

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Solution

The fourth proportional to 184.14, 253.76 and 142.52 is: 196.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.14 : 253.76 = 142.52 : x
  2. Step 2: Convert to fraction form
    184.14/253.76 = 142.52/x
  3. Step 3: Cross multiply
    184.14x = 253.76 × 142.52
  4. Step 4: Simplify right side
    184.14x = 36,165.88
  5. Step 5: Solve for x
    x = 36,165.88/184.14
  6. Step 6: Final answer
    x = 196.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.