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Finding the Fourth Proportional to 214.70, 322.05 and 174.02

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Solution

The fourth proportional to 214.70, 322.05 and 174.02 is: 261.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.70 : 322.05 = 174.02 : x
  2. Step 2: Convert to fraction form
    214.70/322.05 = 174.02/x
  3. Step 3: Cross multiply
    214.70x = 322.05 × 174.02
  4. Step 4: Simplify right side
    214.70x = 56,043.14
  5. Step 5: Solve for x
    x = 56,043.14/214.70
  6. Step 6: Final answer
    x = 261.03

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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.