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Finding the Fourth Proportional to 152.58, 229.18 and 130.90

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Solution

The fourth proportional to 152.58, 229.18 and 130.90 is: 196.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.58 : 229.18 = 130.90 : x
  2. Step 2: Convert to fraction form
    152.58/229.18 = 130.90/x
  3. Step 3: Cross multiply
    152.58x = 229.18 × 130.90
  4. Step 4: Simplify right side
    152.58x = 29,999.66
  5. Step 5: Solve for x
    x = 29,999.66/152.58
  6. Step 6: Final answer
    x = 196.62

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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.