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Finding the Fourth Proportional to 213.60, 320.04 and 141.72

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Solution

The fourth proportional to 213.60, 320.04 and 141.72 is: 212.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.60 : 320.04 = 141.72 : x
  2. Step 2: Convert to fraction form
    213.60/320.04 = 141.72/x
  3. Step 3: Cross multiply
    213.60x = 320.04 × 141.72
  4. Step 4: Simplify right side
    213.60x = 45,356.07
  5. Step 5: Solve for x
    x = 45,356.07/213.60
  6. Step 6: Final answer
    x = 212.34

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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.