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Finding the Fourth Proportional to 178.09, 245.76 and 100.48

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Solution

The fourth proportional to 178.09, 245.76 and 100.48 is: 138.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.09 : 245.76 = 100.48 : x
  2. Step 2: Convert to fraction form
    178.09/245.76 = 100.48/x
  3. Step 3: Cross multiply
    178.09x = 245.76 × 100.48
  4. Step 4: Simplify right side
    178.09x = 24,693.96
  5. Step 5: Solve for x
    x = 24,693.96/178.09
  6. Step 6: Final answer
    x = 138.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.