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Finding the Fourth Proportional to 187.10, 259.51 and 182.10

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Solution

The fourth proportional to 187.10, 259.51 and 182.10 is: 252.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.10 : 259.51 = 182.10 : x
  2. Step 2: Convert to fraction form
    187.10/259.51 = 182.10/x
  3. Step 3: Cross multiply
    187.10x = 259.51 × 182.10
  4. Step 4: Simplify right side
    187.10x = 47,256.77
  5. Step 5: Solve for x
    x = 47,256.77/187.10
  6. Step 6: Final answer
    x = 252.58

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.