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Finding the Fourth Proportional to 215.22, 322.93 and 99.60

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Solution

The fourth proportional to 215.22, 322.93 and 99.60 is: 149.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.22 : 322.93 = 99.60 : x
  2. Step 2: Convert to fraction form
    215.22/322.93 = 99.60/x
  3. Step 3: Cross multiply
    215.22x = 322.93 × 99.60
  4. Step 4: Simplify right side
    215.22x = 32,163.83
  5. Step 5: Solve for x
    x = 32,163.83/215.22
  6. Step 6: Final answer
    x = 149.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.