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Finding the Fourth Proportional to 210.93, 316.46 and 95.42

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Solution

The fourth proportional to 210.93, 316.46 and 95.42 is: 143.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.93 : 316.46 = 95.42 : x
  2. Step 2: Convert to fraction form
    210.93/316.46 = 95.42/x
  3. Step 3: Cross multiply
    210.93x = 316.46 × 95.42
  4. Step 4: Simplify right side
    210.93x = 30,197.64
  5. Step 5: Solve for x
    x = 30,197.64/210.93
  6. Step 6: Final answer
    x = 143.17

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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.