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Finding the Fourth Proportional to 274.19, 410.93 and 144.12

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Solution

The fourth proportional to 274.19, 410.93 and 144.12 is: 215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.19 : 410.93 = 144.12 : x
  2. Step 2: Convert to fraction form
    274.19/410.93 = 144.12/x
  3. Step 3: Cross multiply
    274.19x = 410.93 × 144.12
  4. Step 4: Simplify right side
    274.19x = 59,223.23
  5. Step 5: Solve for x
    x = 59,223.23/274.19
  6. Step 6: Final answer
    x = 215.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.