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Finding the Fourth Proportional to 212.94, 293.75 and 134.16

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Solution

The fourth proportional to 212.94, 293.75 and 134.16 is: 185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.94 : 293.75 = 134.16 : x
  2. Step 2: Convert to fraction form
    212.94/293.75 = 134.16/x
  3. Step 3: Cross multiply
    212.94x = 293.75 × 134.16
  4. Step 4: Simplify right side
    212.94x = 39,408.83
  5. Step 5: Solve for x
    x = 39,408.83/212.94
  6. Step 6: Final answer
    x = 185.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.