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Finding the Fourth Proportional to 178.13, 244.28 and 176.10

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Solution

The fourth proportional to 178.13, 244.28 and 176.10 is: 241.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.13 : 244.28 = 176.10 : x
  2. Step 2: Convert to fraction form
    178.13/244.28 = 176.10/x
  3. Step 3: Cross multiply
    178.13x = 244.28 × 176.10
  4. Step 4: Simplify right side
    178.13x = 43,017.71
  5. Step 5: Solve for x
    x = 43,017.71/178.13
  6. Step 6: Final answer
    x = 241.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.