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Finding the Fourth Proportional to 187.51, 280.83 and 106.15

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Solution

The fourth proportional to 187.51, 280.83 and 106.15 is: 158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.51 : 280.83 = 106.15 : x
  2. Step 2: Convert to fraction form
    187.51/280.83 = 106.15/x
  3. Step 3: Cross multiply
    187.51x = 280.83 × 106.15
  4. Step 4: Simplify right side
    187.51x = 29,810.10
  5. Step 5: Solve for x
    x = 29,810.10/187.51
  6. Step 6: Final answer
    x = 158.98

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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.