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Finding the Fourth Proportional to 187.77, 259.29 and 177.54

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Solution

The fourth proportional to 187.77, 259.29 and 177.54 is: 245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.77 : 259.29 = 177.54 : x
  2. Step 2: Convert to fraction form
    187.77/259.29 = 177.54/x
  3. Step 3: Cross multiply
    187.77x = 259.29 × 177.54
  4. Step 4: Simplify right side
    187.77x = 46,034.35
  5. Step 5: Solve for x
    x = 46,034.35/187.77
  6. Step 6: Final answer
    x = 245.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.