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Finding the Fourth Proportional to 216.34, 298.86 and 151.02

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Solution

The fourth proportional to 216.34, 298.86 and 151.02 is: 208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.34 : 298.86 = 151.02 : x
  2. Step 2: Convert to fraction form
    216.34/298.86 = 151.02/x
  3. Step 3: Cross multiply
    216.34x = 298.86 × 151.02
  4. Step 4: Simplify right side
    216.34x = 45,133.84
  5. Step 5: Solve for x
    x = 45,133.84/216.34
  6. Step 6: Final answer
    x = 208.62

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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.