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Finding the Fourth Proportional to 214.72, 321.84 and 146.32

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Solution

The fourth proportional to 214.72, 321.84 and 146.32 is: 219.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 321.84 = 146.32 : x
  2. Step 2: Convert to fraction form
    214.72/321.84 = 146.32/x
  3. Step 3: Cross multiply
    214.72x = 321.84 × 146.32
  4. Step 4: Simplify right side
    214.72x = 47,091.63
  5. Step 5: Solve for x
    x = 47,091.63/214.72
  6. Step 6: Final answer
    x = 219.32

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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.