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Finding the Fourth Proportional to 214.24, 320.64 and 178.24

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Solution

The fourth proportional to 214.24, 320.64 and 178.24 is: 266.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.24 : 320.64 = 178.24 : x
  2. Step 2: Convert to fraction form
    214.24/320.64 = 178.24/x
  3. Step 3: Cross multiply
    214.24x = 320.64 × 178.24
  4. Step 4: Simplify right side
    214.24x = 57,150.87
  5. Step 5: Solve for x
    x = 57,150.87/214.24
  6. Step 6: Final answer
    x = 266.76

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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.