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Finding the Fourth Proportional to 153.57, 228.80 and 152.05

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Solution

The fourth proportional to 153.57, 228.80 and 152.05 is: 226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.57 : 228.80 = 152.05 : x
  2. Step 2: Convert to fraction form
    153.57/228.80 = 152.05/x
  3. Step 3: Cross multiply
    153.57x = 228.80 × 152.05
  4. Step 4: Simplify right side
    153.57x = 34,789.04
  5. Step 5: Solve for x
    x = 34,789.04/153.57
  6. Step 6: Final answer
    x = 226.54

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.