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Finding the Fourth Proportional to 187.62, 280.36 and 164.16

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Solution

The fourth proportional to 187.62, 280.36 and 164.16 is: 245.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.62 : 280.36 = 164.16 : x
  2. Step 2: Convert to fraction form
    187.62/280.36 = 164.16/x
  3. Step 3: Cross multiply
    187.62x = 280.36 × 164.16
  4. Step 4: Simplify right side
    187.62x = 46,024.10
  5. Step 5: Solve for x
    x = 46,024.10/187.62
  6. Step 6: Final answer
    x = 245.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.