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Finding the Fourth Proportional to 274.59, 412.29 and 153.09

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Solution

The fourth proportional to 274.59, 412.29 and 153.09 is: 229.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.59 : 412.29 = 153.09 : x
  2. Step 2: Convert to fraction form
    274.59/412.29 = 153.09/x
  3. Step 3: Cross multiply
    274.59x = 412.29 × 153.09
  4. Step 4: Simplify right side
    274.59x = 63,117.48
  5. Step 5: Solve for x
    x = 63,117.48/274.59
  6. Step 6: Final answer
    x = 229.86

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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.