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Finding the Fourth Proportional to 184.64, 277.04 and 99.12

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Solution

The fourth proportional to 184.64, 277.04 and 99.12 is: 148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 277.04 = 99.12 : x
  2. Step 2: Convert to fraction form
    184.64/277.04 = 99.12/x
  3. Step 3: Cross multiply
    184.64x = 277.04 × 99.12
  4. Step 4: Simplify right side
    184.64x = 27,460.20
  5. Step 5: Solve for x
    x = 27,460.20/184.64
  6. Step 6: Final answer
    x = 148.72

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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.