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Finding the Fourth Proportional to 178.48, 245.82 and 176.05

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Solution

The fourth proportional to 178.48, 245.82 and 176.05 is: 242.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.48 : 245.82 = 176.05 : x
  2. Step 2: Convert to fraction form
    178.48/245.82 = 176.05/x
  3. Step 3: Cross multiply
    178.48x = 245.82 × 176.05
  4. Step 4: Simplify right side
    178.48x = 43,276.61
  5. Step 5: Solve for x
    x = 43,276.61/178.48
  6. Step 6: Final answer
    x = 242.47

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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.