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Finding the Fourth Proportional to 184.64, 277.07 and 74.93

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Solution

The fourth proportional to 184.64, 277.07 and 74.93 is: 112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.64 : 277.07 = 74.93 : x
  2. Step 2: Convert to fraction form
    184.64/277.07 = 74.93/x
  3. Step 3: Cross multiply
    184.64x = 277.07 × 74.93
  4. Step 4: Simplify right side
    184.64x = 20,760.86
  5. Step 5: Solve for x
    x = 20,760.86/184.64
  6. Step 6: Final answer
    x = 112.44

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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.