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Finding the Fourth Proportional to 214.58, 322.08 and 133.48

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Solution

The fourth proportional to 214.58, 322.08 and 133.48 is: 200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.58 : 322.08 = 133.48 : x
  2. Step 2: Convert to fraction form
    214.58/322.08 = 133.48/x
  3. Step 3: Cross multiply
    214.58x = 322.08 × 133.48
  4. Step 4: Simplify right side
    214.58x = 42,991.14
  5. Step 5: Solve for x
    x = 42,991.14/214.58
  6. Step 6: Final answer
    x = 200.35

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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.