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Finding the Fourth Proportional to 214.83, 321.54 and 117.18

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Solution

The fourth proportional to 214.83, 321.54 and 117.18 is: 175.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.83 : 321.54 = 117.18 : x
  2. Step 2: Convert to fraction form
    214.83/321.54 = 117.18/x
  3. Step 3: Cross multiply
    214.83x = 321.54 × 117.18
  4. Step 4: Simplify right side
    214.83x = 37,678.06
  5. Step 5: Solve for x
    x = 37,678.06/214.83
  6. Step 6: Final answer
    x = 175.39

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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.