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Finding the Fourth Proportional to 152.22, 209.95 and 140.07

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Solution

The fourth proportional to 152.22, 209.95 and 140.07 is: 193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.22 : 209.95 = 140.07 : x
  2. Step 2: Convert to fraction form
    152.22/209.95 = 140.07/x
  3. Step 3: Cross multiply
    152.22x = 209.95 × 140.07
  4. Step 4: Simplify right side
    152.22x = 29,407.00
  5. Step 5: Solve for x
    x = 29,407.00/152.22
  6. Step 6: Final answer
    x = 193.19

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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.