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Finding the Fourth Proportional to 208.24, 310.56 and 178

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Solution

The fourth proportional to 208.24, 310.56 and 178 is: 265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.24 : 310.56 = 178 : x
  2. Step 2: Convert to fraction form
    208.24/310.56 = 178/x
  3. Step 3: Cross multiply
    208.24x = 310.56 × 178
  4. Step 4: Simplify right side
    208.24x = 55,279.68
  5. Step 5: Solve for x
    x = 55,279.68/208.24
  6. Step 6: Final answer
    x = 265.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.