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Finding the Fourth Proportional to 216.42, 298.16 and 154.16

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Solution

The fourth proportional to 216.42, 298.16 and 154.16 is: 212.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.42 : 298.16 = 154.16 : x
  2. Step 2: Convert to fraction form
    216.42/298.16 = 154.16/x
  3. Step 3: Cross multiply
    216.42x = 298.16 × 154.16
  4. Step 4: Simplify right side
    216.42x = 45,962.08
  5. Step 5: Solve for x
    x = 45,962.08/216.42
  6. Step 6: Final answer
    x = 212.37

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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.