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Finding the Fourth Proportional to 212.10, 317.94 and 102.38

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Solution

The fourth proportional to 212.10, 317.94 and 102.38 is: 153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.10 : 317.94 = 102.38 : x
  2. Step 2: Convert to fraction form
    212.10/317.94 = 102.38/x
  3. Step 3: Cross multiply
    212.10x = 317.94 × 102.38
  4. Step 4: Simplify right side
    212.10x = 32,551.75
  5. Step 5: Solve for x
    x = 32,551.75/212.10
  6. Step 6: Final answer
    x = 153.47

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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.