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Finding the Fourth Proportional to 214.84, 320.19 and 213.05

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Solution

The fourth proportional to 214.84, 320.19 and 213.05 is: 317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.84 : 320.19 = 213.05 : x
  2. Step 2: Convert to fraction form
    214.84/320.19 = 213.05/x
  3. Step 3: Cross multiply
    214.84x = 320.19 × 213.05
  4. Step 4: Simplify right side
    214.84x = 68,216.48
  5. Step 5: Solve for x
    x = 68,216.48/214.84
  6. Step 6: Final answer
    x = 317.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.