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Finding the Fourth Proportional to 212.50, 318.56 and 121.07

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Solution

The fourth proportional to 212.50, 318.56 and 121.07 is: 181.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.50 : 318.56 = 121.07 : x
  2. Step 2: Convert to fraction form
    212.50/318.56 = 121.07/x
  3. Step 3: Cross multiply
    212.50x = 318.56 × 121.07
  4. Step 4: Simplify right side
    212.50x = 38,568.06
  5. Step 5: Solve for x
    x = 38,568.06/212.50
  6. Step 6: Final answer
    x = 181.50

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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.