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Finding the Fourth Proportional to 225.42, 311.23 and 146.84

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Solution

The fourth proportional to 225.42, 311.23 and 146.84 is: 202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.42 : 311.23 = 146.84 : x
  2. Step 2: Convert to fraction form
    225.42/311.23 = 146.84/x
  3. Step 3: Cross multiply
    225.42x = 311.23 × 146.84
  4. Step 4: Simplify right side
    225.42x = 45,701.01
  5. Step 5: Solve for x
    x = 45,701.01/225.42
  6. Step 6: Final answer
    x = 202.74

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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.