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Finding the Fourth Proportional to 225.84, 338.53 and 104.01

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Solution

The fourth proportional to 225.84, 338.53 and 104.01 is: 155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.84 : 338.53 = 104.01 : x
  2. Step 2: Convert to fraction form
    225.84/338.53 = 104.01/x
  3. Step 3: Cross multiply
    225.84x = 338.53 × 104.01
  4. Step 4: Simplify right side
    225.84x = 35,210.51
  5. Step 5: Solve for x
    x = 35,210.51/225.84
  6. Step 6: Final answer
    x = 155.91

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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.