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Finding the Fourth Proportional to 212.61, 319.01 and 115.08

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Solution

The fourth proportional to 212.61, 319.01 and 115.08 is: 172.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.61 : 319.01 = 115.08 : x
  2. Step 2: Convert to fraction form
    212.61/319.01 = 115.08/x
  3. Step 3: Cross multiply
    212.61x = 319.01 × 115.08
  4. Step 4: Simplify right side
    212.61x = 36,711.10
  5. Step 5: Solve for x
    x = 36,711.10/212.61
  6. Step 6: Final answer
    x = 172.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.