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Finding the Fourth Proportional to 274.70, 412.06 and 152.87

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Solution

The fourth proportional to 274.70, 412.06 and 152.87 is: 229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.70 : 412.06 = 152.87 : x
  2. Step 2: Convert to fraction form
    274.70/412.06 = 152.87/x
  3. Step 3: Cross multiply
    274.70x = 412.06 × 152.87
  4. Step 4: Simplify right side
    274.70x = 62,992.20
  5. Step 5: Solve for x
    x = 62,992.20/274.70
  6. Step 6: Final answer
    x = 229.31

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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.