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Finding the Fourth Proportional to 147.96, 223.25 and 146.34

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Solution

The fourth proportional to 147.96, 223.25 and 146.34 is: 220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.96 : 223.25 = 146.34 : x
  2. Step 2: Convert to fraction form
    147.96/223.25 = 146.34/x
  3. Step 3: Cross multiply
    147.96x = 223.25 × 146.34
  4. Step 4: Simplify right side
    147.96x = 32,669.67
  5. Step 5: Solve for x
    x = 32,669.67/147.96
  6. Step 6: Final answer
    x = 220.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.