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Finding the Fourth Proportional to 188.24, 259.94 and 178.04

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Solution

The fourth proportional to 188.24, 259.94 and 178.04 is: 245.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.24 : 259.94 = 178.04 : x
  2. Step 2: Convert to fraction form
    188.24/259.94 = 178.04/x
  3. Step 3: Cross multiply
    188.24x = 259.94 × 178.04
  4. Step 4: Simplify right side
    188.24x = 46,280.81
  5. Step 5: Solve for x
    x = 46,280.81/188.24
  6. Step 6: Final answer
    x = 245.87

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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.