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Finding the Fourth Proportional to 274, 410.29 and 152.10

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Solution

The fourth proportional to 274, 410.29 and 152.10 is: 227.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    274 : 410.29 = 152.10 : x
  2. Step 2: Convert to fraction form
    274/410.29 = 152.10/x
  3. Step 3: Cross multiply
    274x = 410.29 × 152.10
  4. Step 4: Simplify right side
    274x = 62,405.11
  5. Step 5: Solve for x
    x = 62,405.11/274
  6. Step 6: Final answer
    x = 227.76

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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.