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Finding the Fourth Proportional to 214.18, 320.75 and 122.60

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Solution

The fourth proportional to 214.18, 320.75 and 122.60 is: 183.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.18 : 320.75 = 122.60 : x
  2. Step 2: Convert to fraction form
    214.18/320.75 = 122.60/x
  3. Step 3: Cross multiply
    214.18x = 320.75 × 122.60
  4. Step 4: Simplify right side
    214.18x = 39,322.65
  5. Step 5: Solve for x
    x = 39,322.65/214.18
  6. Step 6: Final answer
    x = 183.60

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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.