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Finding the Fourth Proportional to 147.46, 222.49 and 145.84

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Solution

The fourth proportional to 147.46, 222.49 and 145.84 is: 220.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.46 : 222.49 = 145.84 : x
  2. Step 2: Convert to fraction form
    147.46/222.49 = 145.84/x
  3. Step 3: Cross multiply
    147.46x = 222.49 × 145.84
  4. Step 4: Simplify right side
    147.46x = 32,447.94
  5. Step 5: Solve for x
    x = 32,447.94/147.46
  6. Step 6: Final answer
    x = 220.05

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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.