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Finding the Fourth Proportional to 147.15, 219.15 and 145.89

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Solution

The fourth proportional to 147.15, 219.15 and 145.89 is: 217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.15 : 219.15 = 145.89 : x
  2. Step 2: Convert to fraction form
    147.15/219.15 = 145.89/x
  3. Step 3: Cross multiply
    147.15x = 219.15 × 145.89
  4. Step 4: Simplify right side
    147.15x = 31,971.79
  5. Step 5: Solve for x
    x = 31,971.79/147.15
  6. Step 6: Final answer
    x = 217.27

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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.