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Finding the Fourth Proportional to 212.15, 292.74 and 133.52

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Solution

The fourth proportional to 212.15, 292.74 and 133.52 is: 184.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.15 : 292.74 = 133.52 : x
  2. Step 2: Convert to fraction form
    212.15/292.74 = 133.52/x
  3. Step 3: Cross multiply
    212.15x = 292.74 × 133.52
  4. Step 4: Simplify right side
    212.15x = 39,085.18
  5. Step 5: Solve for x
    x = 39,085.18/212.15
  6. Step 6: Final answer
    x = 184.24

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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.