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Finding the Fourth Proportional to 152.15, 228.38 and 116.30

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Solution

The fourth proportional to 152.15, 228.38 and 116.30 is: 174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.15 : 228.38 = 116.30 : x
  2. Step 2: Convert to fraction form
    152.15/228.38 = 116.30/x
  3. Step 3: Cross multiply
    152.15x = 228.38 × 116.30
  4. Step 4: Simplify right side
    152.15x = 26,560.58
  5. Step 5: Solve for x
    x = 26,560.58/152.15
  6. Step 6: Final answer
    x = 174.57

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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.