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Finding the Fourth Proportional to 225.95, 338.94 and 96.01

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Solution

The fourth proportional to 225.95, 338.94 and 96.01 is: 144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.95 : 338.94 = 96.01 : x
  2. Step 2: Convert to fraction form
    225.95/338.94 = 96.01/x
  3. Step 3: Cross multiply
    225.95x = 338.94 × 96.01
  4. Step 4: Simplify right side
    225.95x = 32,541.63
  5. Step 5: Solve for x
    x = 32,541.63/225.95
  6. Step 6: Final answer
    x = 144.02

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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.