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Finding the Fourth Proportional to 184.92, 254.76 and 152.36

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Solution

The fourth proportional to 184.92, 254.76 and 152.36 is: 209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.92 : 254.76 = 152.36 : x
  2. Step 2: Convert to fraction form
    184.92/254.76 = 152.36/x
  3. Step 3: Cross multiply
    184.92x = 254.76 × 152.36
  4. Step 4: Simplify right side
    184.92x = 38,815.23
  5. Step 5: Solve for x
    x = 38,815.23/184.92
  6. Step 6: Final answer
    x = 209.90

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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.