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Finding the Fourth Proportional to 214.96, 322.36 and 93.36

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Solution

The fourth proportional to 214.96, 322.36 and 93.36 is: 140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 322.36 = 93.36 : x
  2. Step 2: Convert to fraction form
    214.96/322.36 = 93.36/x
  3. Step 3: Cross multiply
    214.96x = 322.36 × 93.36
  4. Step 4: Simplify right side
    214.96x = 30,095.53
  5. Step 5: Solve for x
    x = 30,095.53/214.96
  6. Step 6: Final answer
    x = 140.01

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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.