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Finding the Fourth Proportional to 225.09, 337.46 and 96.93

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Solution

The fourth proportional to 225.09, 337.46 and 96.93 is: 145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.09 : 337.46 = 96.93 : x
  2. Step 2: Convert to fraction form
    225.09/337.46 = 96.93/x
  3. Step 3: Cross multiply
    225.09x = 337.46 × 96.93
  4. Step 4: Simplify right side
    225.09x = 32,709.51
  5. Step 5: Solve for x
    x = 32,709.51/225.09
  6. Step 6: Final answer
    x = 145.32

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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.