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Finding the Fourth Proportional to 188.00, 259.62 and 177.77

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Solution

The fourth proportional to 188.00, 259.62 and 177.77 is: 245.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.00 : 259.62 = 177.77 : x
  2. Step 2: Convert to fraction form
    188.00/259.62 = 177.77/x
  3. Step 3: Cross multiply
    188.00x = 259.62 × 177.77
  4. Step 4: Simplify right side
    188.00x = 46,153.30
  5. Step 5: Solve for x
    x = 46,153.30/188.00
  6. Step 6: Final answer
    x = 245.49

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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.