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Finding the Fourth Proportional to 214.88, 321.77 and 117.08

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Solution

The fourth proportional to 214.88, 321.77 and 117.08 is: 175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 321.77 = 117.08 : x
  2. Step 2: Convert to fraction form
    214.88/321.77 = 117.08/x
  3. Step 3: Cross multiply
    214.88x = 321.77 × 117.08
  4. Step 4: Simplify right side
    214.88x = 37,671.52
  5. Step 5: Solve for x
    x = 37,671.52/214.88
  6. Step 6: Final answer
    x = 175.32

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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.