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Finding the Fourth Proportional to 210.63, 316 and 119.39

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Solution

The fourth proportional to 210.63, 316 and 119.39 is: 179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.63 : 316 = 119.39 : x
  2. Step 2: Convert to fraction form
    210.63/316 = 119.39/x
  3. Step 3: Cross multiply
    210.63x = 316 × 119.39
  4. Step 4: Simplify right side
    210.63x = 37,727.14
  5. Step 5: Solve for x
    x = 37,727.14/210.63
  6. Step 6: Final answer
    x = 179.12

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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.