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Finding the Fourth Proportional to 212.64, 293.52 and 147.18

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Solution

The fourth proportional to 212.64, 293.52 and 147.18 is: 203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.64 : 293.52 = 147.18 : x
  2. Step 2: Convert to fraction form
    212.64/293.52 = 147.18/x
  3. Step 3: Cross multiply
    212.64x = 293.52 × 147.18
  4. Step 4: Simplify right side
    212.64x = 43,200.27
  5. Step 5: Solve for x
    x = 43,200.27/212.64
  6. Step 6: Final answer
    x = 203.16

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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.