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Finding the Fourth Proportional to 188.94, 261.03 and 178

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Solution

The fourth proportional to 188.94, 261.03 and 178 is: 245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.94 : 261.03 = 178 : x
  2. Step 2: Convert to fraction form
    188.94/261.03 = 178/x
  3. Step 3: Cross multiply
    188.94x = 261.03 × 178
  4. Step 4: Simplify right side
    188.94x = 46,463.34
  5. Step 5: Solve for x
    x = 46,463.34/188.94
  6. Step 6: Final answer
    x = 245.92

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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.