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Finding the Fourth Proportional to 450.13, 675.19 and 146.13

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Solution

The fourth proportional to 450.13, 675.19 and 146.13 is: 219.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.13 : 675.19 = 146.13 : x
  2. Step 2: Convert to fraction form
    450.13/675.19 = 146.13/x
  3. Step 3: Cross multiply
    450.13x = 675.19 × 146.13
  4. Step 4: Simplify right side
    450.13x = 98,661.77
  5. Step 5: Solve for x
    x = 98,661.77/450.13
  6. Step 6: Final answer
    x = 219.19

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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.