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Finding the Fourth Proportional to 212.25, 293.06 and 157.13

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Solution

The fourth proportional to 212.25, 293.06 and 157.13 is: 216.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.25 : 293.06 = 157.13 : x
  2. Step 2: Convert to fraction form
    212.25/293.06 = 157.13/x
  3. Step 3: Cross multiply
    212.25x = 293.06 × 157.13
  4. Step 4: Simplify right side
    212.25x = 46,047.45
  5. Step 5: Solve for x
    x = 46,047.45/212.25
  6. Step 6: Final answer
    x = 216.95

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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.