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Finding the Fourth Proportional to 218.65, 301.83 and 145.07

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Solution

The fourth proportional to 218.65, 301.83 and 145.07 is: 200.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.65 : 301.83 = 145.07 : x
  2. Step 2: Convert to fraction form
    218.65/301.83 = 145.07/x
  3. Step 3: Cross multiply
    218.65x = 301.83 × 145.07
  4. Step 4: Simplify right side
    218.65x = 43,784.71
  5. Step 5: Solve for x
    x = 43,784.71/218.65
  6. Step 6: Final answer
    x = 200.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.