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Finding the Fourth Proportional to 214.93, 322.57 and 78.02

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Solution

The fourth proportional to 214.93, 322.57 and 78.02 is: 117.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.93 : 322.57 = 78.02 : x
  2. Step 2: Convert to fraction form
    214.93/322.57 = 78.02/x
  3. Step 3: Cross multiply
    214.93x = 322.57 × 78.02
  4. Step 4: Simplify right side
    214.93x = 25,166.06
  5. Step 5: Solve for x
    x = 25,166.06/214.93
  6. Step 6: Final answer
    x = 117.09

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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.