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Finding the Fourth Proportional to 216.66, 298.93 and 158.42

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Solution

The fourth proportional to 216.66, 298.93 and 158.42 is: 218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.66 : 298.93 = 158.42 : x
  2. Step 2: Convert to fraction form
    216.66/298.93 = 158.42/x
  3. Step 3: Cross multiply
    216.66x = 298.93 × 158.42
  4. Step 4: Simplify right side
    216.66x = 47,356.49
  5. Step 5: Solve for x
    x = 47,356.49/216.66
  6. Step 6: Final answer
    x = 218.58

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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.