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Finding the Fourth Proportional to 212.08, 317.72 and 178.06

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Solution

The fourth proportional to 212.08, 317.72 and 178.06 is: 266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.08 : 317.72 = 178.06 : x
  2. Step 2: Convert to fraction form
    212.08/317.72 = 178.06/x
  3. Step 3: Cross multiply
    212.08x = 317.72 × 178.06
  4. Step 4: Simplify right side
    212.08x = 56,573.22
  5. Step 5: Solve for x
    x = 56,573.22/212.08
  6. Step 6: Final answer
    x = 266.75

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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.