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Finding the Fourth Proportional to 190.34, 285.51 and 46.05

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Solution

The fourth proportional to 190.34, 285.51 and 46.05 is: 69.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.34 : 285.51 = 46.05 : x
  2. Step 2: Convert to fraction form
    190.34/285.51 = 46.05/x
  3. Step 3: Cross multiply
    190.34x = 285.51 × 46.05
  4. Step 4: Simplify right side
    190.34x = 13,148.86
  5. Step 5: Solve for x
    x = 13,148.86/190.34
  6. Step 6: Final answer
    x = 69.08

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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.