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Finding the Fourth Proportional to 384.13, 575.89 and 140.52

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Solution

The fourth proportional to 384.13, 575.89 and 140.52 is: 210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.13 : 575.89 = 140.52 : x
  2. Step 2: Convert to fraction form
    384.13/575.89 = 140.52/x
  3. Step 3: Cross multiply
    384.13x = 575.89 × 140.52
  4. Step 4: Simplify right side
    384.13x = 80,924.06
  5. Step 5: Solve for x
    x = 80,924.06/384.13
  6. Step 6: Final answer
    x = 210.67

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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.