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Finding the Fourth Proportional to 216.55, 298.94 and 146.71

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Solution

The fourth proportional to 216.55, 298.94 and 146.71 is: 202.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.55 : 298.94 = 146.71 : x
  2. Step 2: Convert to fraction form
    216.55/298.94 = 146.71/x
  3. Step 3: Cross multiply
    216.55x = 298.94 × 146.71
  4. Step 4: Simplify right side
    216.55x = 43,856.75
  5. Step 5: Solve for x
    x = 43,856.75/216.55
  6. Step 6: Final answer
    x = 202.52

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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.