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Finding the Fourth Proportional to 297.06, 445.62 and 102.06

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Solution

The fourth proportional to 297.06, 445.62 and 102.06 is: 153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.06 : 445.62 = 102.06 : x
  2. Step 2: Convert to fraction form
    297.06/445.62 = 102.06/x
  3. Step 3: Cross multiply
    297.06x = 445.62 × 102.06
  4. Step 4: Simplify right side
    297.06x = 45,479.98
  5. Step 5: Solve for x
    x = 45,479.98/297.06
  6. Step 6: Final answer
    x = 153.10

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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.