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Finding the Fourth Proportional to 740.14, 1,110.16 and 220.16

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Solution

The fourth proportional to 740.14, 1,110.16 and 220.16 is: 330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.14 : 1,110.16 = 220.16 : x
  2. Step 2: Convert to fraction form
    740.14/1,110.16 = 220.16/x
  3. Step 3: Cross multiply
    740.14x = 1,110.16 × 220.16
  4. Step 4: Simplify right side
    740.14x = 244,412.83
  5. Step 5: Solve for x
    x = 244,412.83/740.14
  6. Step 6: Final answer
    x = 330.23

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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.