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Finding the Fourth Proportional to 242.83, 364.23 and 145.29

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Solution

The fourth proportional to 242.83, 364.23 and 145.29 is: 217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.83 : 364.23 = 145.29 : x
  2. Step 2: Convert to fraction form
    242.83/364.23 = 145.29/x
  3. Step 3: Cross multiply
    242.83x = 364.23 × 145.29
  4. Step 4: Simplify right side
    242.83x = 52,920.55
  5. Step 5: Solve for x
    x = 52,920.55/242.83
  6. Step 6: Final answer
    x = 217.93

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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.