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Finding the Fourth Proportional to 240.02, 360.08 and 102.98

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Solution

The fourth proportional to 240.02, 360.08 and 102.98 is: 154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240.02 : 360.08 = 102.98 : x
  2. Step 2: Convert to fraction form
    240.02/360.08 = 102.98/x
  3. Step 3: Cross multiply
    240.02x = 360.08 × 102.98
  4. Step 4: Simplify right side
    240.02x = 37,081.04
  5. Step 5: Solve for x
    x = 37,081.04/240.02
  6. Step 6: Final answer
    x = 154.49

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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.