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Finding the Fourth Proportional to 225.30, 311.09 and 160.01

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Solution

The fourth proportional to 225.30, 311.09 and 160.01 is: 220.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.30 : 311.09 = 160.01 : x
  2. Step 2: Convert to fraction form
    225.30/311.09 = 160.01/x
  3. Step 3: Cross multiply
    225.30x = 311.09 × 160.01
  4. Step 4: Simplify right side
    225.30x = 49,775.16
  5. Step 5: Solve for x
    x = 49,775.16/225.30
  6. Step 6: Final answer
    x = 220.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.