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Finding the Fourth Proportional to 225.60, 339.84 and 215.04

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Solution

The fourth proportional to 225.60, 339.84 and 215.04 is: 323.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.60 : 339.84 = 215.04 : x
  2. Step 2: Convert to fraction form
    225.60/339.84 = 215.04/x
  3. Step 3: Cross multiply
    225.60x = 339.84 × 215.04
  4. Step 4: Simplify right side
    225.60x = 73,079.19
  5. Step 5: Solve for x
    x = 73,079.19/225.60
  6. Step 6: Final answer
    x = 323.93

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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.