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Finding the Fourth Proportional to 242.83, 364.43 and 88.90

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Solution

The fourth proportional to 242.83, 364.43 and 88.90 is: 133.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.83 : 364.43 = 88.90 : x
  2. Step 2: Convert to fraction form
    242.83/364.43 = 88.90/x
  3. Step 3: Cross multiply
    242.83x = 364.43 × 88.90
  4. Step 4: Simplify right side
    242.83x = 32,399.19
  5. Step 5: Solve for x
    x = 32,399.19/242.83
  6. Step 6: Final answer
    x = 133.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.