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Finding the Fourth Proportional to 225.60, 336.86 and 185.10

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Solution

The fourth proportional to 225.60, 336.86 and 185.10 is: 276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 336.86 = 185.10 : x
  2. Step 2: Convert to fraction form
    225.60/336.86 = 185.10/x
  3. Step 3: Cross multiply
    225.60x = 336.86 × 185.10
  4. Step 4: Simplify right side
    225.60x = 62,352.79
  5. Step 5: Solve for x
    x = 62,352.79/225.60
  6. Step 6: Final answer
    x = 276.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.