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Finding the Fourth Proportional to 187.36, 281.06 and 70.26

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Solution

The fourth proportional to 187.36, 281.06 and 70.26 is: 105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.36 : 281.06 = 70.26 : x
  2. Step 2: Convert to fraction form
    187.36/281.06 = 70.26/x
  3. Step 3: Cross multiply
    187.36x = 281.06 × 70.26
  4. Step 4: Simplify right side
    187.36x = 19,747.71
  5. Step 5: Solve for x
    x = 19,747.71/187.36
  6. Step 6: Final answer
    x = 105.40

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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.