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Finding the Fourth Proportional to 147.95, 220.40 and 143.70

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Solution

The fourth proportional to 147.95, 220.40 and 143.70 is: 214.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.95 : 220.40 = 143.70 : x
  2. Step 2: Convert to fraction form
    147.95/220.40 = 143.70/x
  3. Step 3: Cross multiply
    147.95x = 220.40 × 143.70
  4. Step 4: Simplify right side
    147.95x = 31,671.48
  5. Step 5: Solve for x
    x = 31,671.48/147.95
  6. Step 6: Final answer
    x = 214.07

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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.