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Finding the Fourth Proportional to 142.95, 197.48 and 130.65

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Solution

The fourth proportional to 142.95, 197.48 and 130.65 is: 180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.95 : 197.48 = 130.65 : x
  2. Step 2: Convert to fraction form
    142.95/197.48 = 130.65/x
  3. Step 3: Cross multiply
    142.95x = 197.48 × 130.65
  4. Step 4: Simplify right side
    142.95x = 25,800.11
  5. Step 5: Solve for x
    x = 25,800.11/142.95
  6. Step 6: Final answer
    x = 180.48

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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.