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Finding the Fourth Proportional to 152.66, 228.91 and 131.38

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Solution

The fourth proportional to 152.66, 228.91 and 131.38 is: 197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.66 : 228.91 = 131.38 : x
  2. Step 2: Convert to fraction form
    152.66/228.91 = 131.38/x
  3. Step 3: Cross multiply
    152.66x = 228.91 × 131.38
  4. Step 4: Simplify right side
    152.66x = 30,074.20
  5. Step 5: Solve for x
    x = 30,074.20/152.66
  6. Step 6: Final answer
    x = 197.00

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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.