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Finding the Fourth Proportional to 274.16, 411.08 and 130

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Solution

The fourth proportional to 274.16, 411.08 and 130 is: 194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.16 : 411.08 = 130 : x
  2. Step 2: Convert to fraction form
    274.16/411.08 = 130/x
  3. Step 3: Cross multiply
    274.16x = 411.08 × 130
  4. Step 4: Simplify right side
    274.16x = 53,440.40
  5. Step 5: Solve for x
    x = 53,440.40/274.16
  6. Step 6: Final answer
    x = 194.92

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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.