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Finding the Fourth Proportional to 184.32, 254.04 and 153.13

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Solution

The fourth proportional to 184.32, 254.04 and 153.13 is: 211.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.32 : 254.04 = 153.13 : x
  2. Step 2: Convert to fraction form
    184.32/254.04 = 153.13/x
  3. Step 3: Cross multiply
    184.32x = 254.04 × 153.13
  4. Step 4: Simplify right side
    184.32x = 38,901.15
  5. Step 5: Solve for x
    x = 38,901.15/184.32
  6. Step 6: Final answer
    x = 211.05

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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.