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Finding the Fourth Proportional to 190.65, 286.12 and 117.58

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Solution

The fourth proportional to 190.65, 286.12 and 117.58 is: 176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.65 : 286.12 = 117.58 : x
  2. Step 2: Convert to fraction form
    190.65/286.12 = 117.58/x
  3. Step 3: Cross multiply
    190.65x = 286.12 × 117.58
  4. Step 4: Simplify right side
    190.65x = 33,641.99
  5. Step 5: Solve for x
    x = 33,641.99/190.65
  6. Step 6: Final answer
    x = 176.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.