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Finding the Fourth Proportional to 210.34, 314.73 and 119.11

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Solution

The fourth proportional to 210.34, 314.73 and 119.11 is: 178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.34 : 314.73 = 119.11 : x
  2. Step 2: Convert to fraction form
    210.34/314.73 = 119.11/x
  3. Step 3: Cross multiply
    210.34x = 314.73 × 119.11
  4. Step 4: Simplify right side
    210.34x = 37,487.49
  5. Step 5: Solve for x
    x = 37,487.49/210.34
  6. Step 6: Final answer
    x = 178.22

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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.