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Finding the Fourth Proportional to 147.80, 221.78 and 117.56

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Solution

The fourth proportional to 147.80, 221.78 and 117.56 is: 176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.80 : 221.78 = 117.56 : x
  2. Step 2: Convert to fraction form
    147.80/221.78 = 117.56/x
  3. Step 3: Cross multiply
    147.80x = 221.78 × 117.56
  4. Step 4: Simplify right side
    147.80x = 26,072.46
  5. Step 5: Solve for x
    x = 26,072.46/147.80
  6. Step 6: Final answer
    x = 176.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.