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Finding the Fourth Proportional to 214.34, 322.01 and 185.18

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Solution

The fourth proportional to 214.34, 322.01 and 185.18 is: 278.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.34 : 322.01 = 185.18 : x
  2. Step 2: Convert to fraction form
    214.34/322.01 = 185.18/x
  3. Step 3: Cross multiply
    214.34x = 322.01 × 185.18
  4. Step 4: Simplify right side
    214.34x = 59,627.28
  5. Step 5: Solve for x
    x = 59,627.28/214.34
  6. Step 6: Final answer
    x = 278.20

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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.