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Finding the Fourth Proportional to 246.87, 340.41 and 176.04

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Solution

The fourth proportional to 246.87, 340.41 and 176.04 is: 242.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.87 : 340.41 = 176.04 : x
  2. Step 2: Convert to fraction form
    246.87/340.41 = 176.04/x
  3. Step 3: Cross multiply
    246.87x = 340.41 × 176.04
  4. Step 4: Simplify right side
    246.87x = 59,925.78
  5. Step 5: Solve for x
    x = 59,925.78/246.87
  6. Step 6: Final answer
    x = 242.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.