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Finding the Fourth Proportional to 215.63, 322.21 and 146.58

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Solution

The fourth proportional to 215.63, 322.21 and 146.58 is: 219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.63 : 322.21 = 146.58 : x
  2. Step 2: Convert to fraction form
    215.63/322.21 = 146.58/x
  3. Step 3: Cross multiply
    215.63x = 322.21 × 146.58
  4. Step 4: Simplify right side
    215.63x = 47,229.54
  5. Step 5: Solve for x
    x = 47,229.54/215.63
  6. Step 6: Final answer
    x = 219.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.