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Finding the Fourth Proportional to 214.36, 320.96 and 152.80

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Solution

The fourth proportional to 214.36, 320.96 and 152.80 is: 228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.36 : 320.96 = 152.80 : x
  2. Step 2: Convert to fraction form
    214.36/320.96 = 152.80/x
  3. Step 3: Cross multiply
    214.36x = 320.96 × 152.80
  4. Step 4: Simplify right side
    214.36x = 49,042.69
  5. Step 5: Solve for x
    x = 49,042.69/214.36
  6. Step 6: Final answer
    x = 228.79

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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.