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Finding the Fourth Proportional to 384.48, 576.66 and 127.98

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Solution

The fourth proportional to 384.48, 576.66 and 127.98 is: 191.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.48 : 576.66 = 127.98 : x
  2. Step 2: Convert to fraction form
    384.48/576.66 = 127.98/x
  3. Step 3: Cross multiply
    384.48x = 576.66 × 127.98
  4. Step 4: Simplify right side
    384.48x = 73,800.95
  5. Step 5: Solve for x
    x = 73,800.95/384.48
  6. Step 6: Final answer
    x = 191.95

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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.