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Finding the Fourth Proportional to 274.01, 410.88 and 144

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Solution

The fourth proportional to 274.01, 410.88 and 144 is: 215.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.01 : 410.88 = 144 : x
  2. Step 2: Convert to fraction form
    274.01/410.88 = 144/x
  3. Step 3: Cross multiply
    274.01x = 410.88 × 144
  4. Step 4: Simplify right side
    274.01x = 59,166.72
  5. Step 5: Solve for x
    x = 59,166.72/274.01
  6. Step 6: Final answer
    x = 215.93

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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.