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Finding the Fourth Proportional to 216.15, 298.40 and 146.57

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Solution

The fourth proportional to 216.15, 298.40 and 146.57 is: 202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.15 : 298.40 = 146.57 : x
  2. Step 2: Convert to fraction form
    216.15/298.40 = 146.57/x
  3. Step 3: Cross multiply
    216.15x = 298.40 × 146.57
  4. Step 4: Simplify right side
    216.15x = 43,736.50
  5. Step 5: Solve for x
    x = 43,736.50/216.15
  6. Step 6: Final answer
    x = 202.34

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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.