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Finding the Fourth Proportional to 210.64, 317.08 and 190.80

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Solution

The fourth proportional to 210.64, 317.08 and 190.80 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.64 : 317.08 = 190.80 : x
  2. Step 2: Convert to fraction form
    210.64/317.08 = 190.80/x
  3. Step 3: Cross multiply
    210.64x = 317.08 × 190.80
  4. Step 4: Simplify right side
    210.64x = 60,498.86
  5. Step 5: Solve for x
    x = 60,498.86/210.64
  6. Step 6: Final answer
    x = 287.21

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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.