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Finding the Fourth Proportional to 216.08, 298.04 and 146.96

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Solution

The fourth proportional to 216.08, 298.04 and 146.96 is: 202.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.08 : 298.04 = 146.96 : x
  2. Step 2: Convert to fraction form
    216.08/298.04 = 146.96/x
  3. Step 3: Cross multiply
    216.08x = 298.04 × 146.96
  4. Step 4: Simplify right side
    216.08x = 43,799.96
  5. Step 5: Solve for x
    x = 43,799.96/216.08
  6. Step 6: Final answer
    x = 202.70

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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.