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Finding the Fourth Proportional to 147.48, 219.84 and 146.34

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Solution

The fourth proportional to 147.48, 219.84 and 146.34 is: 218.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.48 : 219.84 = 146.34 : x
  2. Step 2: Convert to fraction form
    147.48/219.84 = 146.34/x
  3. Step 3: Cross multiply
    147.48x = 219.84 × 146.34
  4. Step 4: Simplify right side
    147.48x = 32,171.39
  5. Step 5: Solve for x
    x = 32,171.39/147.48
  6. Step 6: Final answer
    x = 218.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.