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Finding the Fourth Proportional to 211.74, 317.49 and 65.45

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Solution

The fourth proportional to 211.74, 317.49 and 65.45 is: 98.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.74 : 317.49 = 65.45 : x
  2. Step 2: Convert to fraction form
    211.74/317.49 = 65.45/x
  3. Step 3: Cross multiply
    211.74x = 317.49 × 65.45
  4. Step 4: Simplify right side
    211.74x = 20,780.18
  5. Step 5: Solve for x
    x = 20,780.18/211.74
  6. Step 6: Final answer
    x = 98.14

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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.