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Finding the Fourth Proportional to 184.69, 277.35 and 148.24

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Solution

The fourth proportional to 184.69, 277.35 and 148.24 is: 222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.69 : 277.35 = 148.24 : x
  2. Step 2: Convert to fraction form
    184.69/277.35 = 148.24/x
  3. Step 3: Cross multiply
    184.69x = 277.35 × 148.24
  4. Step 4: Simplify right side
    184.69x = 41,114.36
  5. Step 5: Solve for x
    x = 41,114.36/184.69
  6. Step 6: Final answer
    x = 222.61

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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.