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Finding the Fourth Proportional to 211.74, 317.60 and 177.41

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Solution

The fourth proportional to 211.74, 317.60 and 177.41 is: 266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.74 : 317.60 = 177.41 : x
  2. Step 2: Convert to fraction form
    211.74/317.60 = 177.41/x
  3. Step 3: Cross multiply
    211.74x = 317.60 × 177.41
  4. Step 4: Simplify right side
    211.74x = 56,345.42
  5. Step 5: Solve for x
    x = 56,345.42/211.74
  6. Step 6: Final answer
    x = 266.11

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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.