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Finding the Fourth Proportional to 242.48, 364.07 and 236.34

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Solution

The fourth proportional to 242.48, 364.07 and 236.34 is: 354.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.48 : 364.07 = 236.34 : x
  2. Step 2: Convert to fraction form
    242.48/364.07 = 236.34/x
  3. Step 3: Cross multiply
    242.48x = 364.07 × 236.34
  4. Step 4: Simplify right side
    242.48x = 86,044.30
  5. Step 5: Solve for x
    x = 86,044.30/242.48
  6. Step 6: Final answer
    x = 354.85

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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.