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Finding the Fourth Proportional to 246.65, 340.42 and 147.07

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Solution

The fourth proportional to 246.65, 340.42 and 147.07 is: 202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.65 : 340.42 = 147.07 : x
  2. Step 2: Convert to fraction form
    246.65/340.42 = 147.07/x
  3. Step 3: Cross multiply
    246.65x = 340.42 × 147.07
  4. Step 4: Simplify right side
    246.65x = 50,064.53
  5. Step 5: Solve for x
    x = 50,064.53/246.65
  6. Step 6: Final answer
    x = 202.98

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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.