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Finding the Fourth Proportional to 214.98, 322.35 and 185.66

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Solution

The fourth proportional to 214.98, 322.35 and 185.66 is: 278.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.98 : 322.35 = 185.66 : x
  2. Step 2: Convert to fraction form
    214.98/322.35 = 185.66/x
  3. Step 3: Cross multiply
    214.98x = 322.35 × 185.66
  4. Step 4: Simplify right side
    214.98x = 59,845.89
  5. Step 5: Solve for x
    x = 59,845.89/214.98
  6. Step 6: Final answer
    x = 278.38

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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.