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Finding the Fourth Proportional to 247.04, 370.13 and 144.24

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Solution

The fourth proportional to 247.04, 370.13 and 144.24 is: 216.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.04 : 370.13 = 144.24 : x
  2. Step 2: Convert to fraction form
    247.04/370.13 = 144.24/x
  3. Step 3: Cross multiply
    247.04x = 370.13 × 144.24
  4. Step 4: Simplify right side
    247.04x = 53,386.83
  5. Step 5: Solve for x
    x = 53,386.83/247.04
  6. Step 6: Final answer
    x = 216.10

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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.