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Finding the Fourth Proportional to 214.37, 321.98 and 169.10

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Solution

The fourth proportional to 214.37, 321.98 and 169.10 is: 253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.37 : 321.98 = 169.10 : x
  2. Step 2: Convert to fraction form
    214.37/321.98 = 169.10/x
  3. Step 3: Cross multiply
    214.37x = 321.98 × 169.10
  4. Step 4: Simplify right side
    214.37x = 54,444.36
  5. Step 5: Solve for x
    x = 54,444.36/214.37
  6. Step 6: Final answer
    x = 253.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.