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Finding the Fourth Proportional to 214.98, 320.59 and 202.20

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Solution

The fourth proportional to 214.98, 320.59 and 202.20 is: 301.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.98 : 320.59 = 202.20 : x
  2. Step 2: Convert to fraction form
    214.98/320.59 = 202.20/x
  3. Step 3: Cross multiply
    214.98x = 320.59 × 202.20
  4. Step 4: Simplify right side
    214.98x = 64,823.30
  5. Step 5: Solve for x
    x = 64,823.30/214.98
  6. Step 6: Final answer
    x = 301.53

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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.