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Finding the Fourth Proportional to 184.04, 254.04 and 114.14

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Solution

The fourth proportional to 184.04, 254.04 and 114.14 is: 157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.04 : 254.04 = 114.14 : x
  2. Step 2: Convert to fraction form
    184.04/254.04 = 114.14/x
  3. Step 3: Cross multiply
    184.04x = 254.04 × 114.14
  4. Step 4: Simplify right side
    184.04x = 28,996.13
  5. Step 5: Solve for x
    x = 28,996.13/184.04
  6. Step 6: Final answer
    x = 157.55

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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.