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Finding the Fourth Proportional to 147.66, 219.99 and 141.45

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Solution

The fourth proportional to 147.66, 219.99 and 141.45 is: 210.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.66 : 219.99 = 141.45 : x
  2. Step 2: Convert to fraction form
    147.66/219.99 = 141.45/x
  3. Step 3: Cross multiply
    147.66x = 219.99 × 141.45
  4. Step 4: Simplify right side
    147.66x = 31,117.59
  5. Step 5: Solve for x
    x = 31,117.59/147.66
  6. Step 6: Final answer
    x = 210.74

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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.