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Finding the Fourth Proportional to 212.01, 317.61 and 143.34

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Solution

The fourth proportional to 212.01, 317.61 and 143.34 is: 214.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.01 : 317.61 = 143.34 : x
  2. Step 2: Convert to fraction form
    212.01/317.61 = 143.34/x
  3. Step 3: Cross multiply
    212.01x = 317.61 × 143.34
  4. Step 4: Simplify right side
    212.01x = 45,526.22
  5. Step 5: Solve for x
    x = 45,526.22/212.01
  6. Step 6: Final answer
    x = 214.74

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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.