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Finding the Fourth Proportional to 225.02, 336.98 and 182.18

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Solution

The fourth proportional to 225.02, 336.98 and 182.18 is: 272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.02 : 336.98 = 182.18 : x
  2. Step 2: Convert to fraction form
    225.02/336.98 = 182.18/x
  3. Step 3: Cross multiply
    225.02x = 336.98 × 182.18
  4. Step 4: Simplify right side
    225.02x = 61,391.02
  5. Step 5: Solve for x
    x = 61,391.02/225.02
  6. Step 6: Final answer
    x = 272.82

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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.