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Finding the Fourth Proportional to 212.02, 317.42 and 157.14

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Solution

The fourth proportional to 212.02, 317.42 and 157.14 is: 235.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.02 : 317.42 = 157.14 : x
  2. Step 2: Convert to fraction form
    212.02/317.42 = 157.14/x
  3. Step 3: Cross multiply
    212.02x = 317.42 × 157.14
  4. Step 4: Simplify right side
    212.02x = 49,879.18
  5. Step 5: Solve for x
    x = 49,879.18/212.02
  6. Step 6: Final answer
    x = 235.26

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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.