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Finding the Fourth Proportional to 190.35, 285.52 and 46.07

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Solution

The fourth proportional to 190.35, 285.52 and 46.07 is: 69.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.35 : 285.52 = 46.07 : x
  2. Step 2: Convert to fraction form
    190.35/285.52 = 46.07/x
  3. Step 3: Cross multiply
    190.35x = 285.52 × 46.07
  4. Step 4: Simplify right side
    190.35x = 13,152.25
  5. Step 5: Solve for x
    x = 13,152.25/190.35
  6. Step 6: Final answer
    x = 69.10

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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.