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Finding the Fourth Proportional to 242.37, 364.00 and 126.89

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Solution

The fourth proportional to 242.37, 364.00 and 126.89 is: 190.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.37 : 364.00 = 126.89 : x
  2. Step 2: Convert to fraction form
    242.37/364.00 = 126.89/x
  3. Step 3: Cross multiply
    242.37x = 364.00 × 126.89
  4. Step 4: Simplify right side
    242.37x = 46,188.55
  5. Step 5: Solve for x
    x = 46,188.55/242.37
  6. Step 6: Final answer
    x = 190.57

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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.