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Finding the Fourth Proportional to 147.84, 220.80 and 120.45

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Solution

The fourth proportional to 147.84, 220.80 and 120.45 is: 179.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.84 : 220.80 = 120.45 : x
  2. Step 2: Convert to fraction form
    147.84/220.80 = 120.45/x
  3. Step 3: Cross multiply
    147.84x = 220.80 × 120.45
  4. Step 4: Simplify right side
    147.84x = 26,595.36
  5. Step 5: Solve for x
    x = 26,595.36/147.84
  6. Step 6: Final answer
    x = 179.89

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