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Finding the Fourth Proportional to 184.74, 278.37 and 152.96

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Solution

The fourth proportional to 184.74, 278.37 and 152.96 is: 230.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 278.37 = 152.96 : x
  2. Step 2: Convert to fraction form
    184.74/278.37 = 152.96/x
  3. Step 3: Cross multiply
    184.74x = 278.37 × 152.96
  4. Step 4: Simplify right side
    184.74x = 42,579.48
  5. Step 5: Solve for x
    x = 42,579.48/184.74
  6. Step 6: Final answer
    x = 230.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.