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Finding the Fourth Proportional to 365.23, 547.61 and 145.88

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Solution

The fourth proportional to 365.23, 547.61 and 145.88 is: 218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.23 : 547.61 = 145.88 : x
  2. Step 2: Convert to fraction form
    365.23/547.61 = 145.88/x
  3. Step 3: Cross multiply
    365.23x = 547.61 × 145.88
  4. Step 4: Simplify right side
    365.23x = 79,883.93
  5. Step 5: Solve for x
    x = 79,883.93/365.23
  6. Step 6: Final answer
    x = 218.72

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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.