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Finding the Fourth Proportional to 246.71, 370.07 and 102.40

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Solution

The fourth proportional to 246.71, 370.07 and 102.40 is: 153.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    246.71 : 370.07 = 102.40 : x
  2. Step 2: Convert to fraction form
    246.71/370.07 = 102.40/x
  3. Step 3: Cross multiply
    246.71x = 370.07 × 102.40
  4. Step 4: Simplify right side
    246.71x = 37,894.11
  5. Step 5: Solve for x
    x = 37,894.11/246.71
  6. Step 6: Final answer
    x = 153.60

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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.