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Finding the Fourth Proportional to 210.41, 317.17 and 174.57

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Solution

The fourth proportional to 210.41, 317.17 and 174.57 is: 263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.41 : 317.17 = 174.57 : x
  2. Step 2: Convert to fraction form
    210.41/317.17 = 174.57/x
  3. Step 3: Cross multiply
    210.41x = 317.17 × 174.57
  4. Step 4: Simplify right side
    210.41x = 55,365.91
  5. Step 5: Solve for x
    x = 55,365.91/210.41
  6. Step 6: Final answer
    x = 263.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.