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Finding the Fourth Proportional to 153.01, 229.60 and 152.55

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Solution

The fourth proportional to 153.01, 229.60 and 152.55 is: 228.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.01 : 229.60 = 152.55 : x
  2. Step 2: Convert to fraction form
    153.01/229.60 = 152.55/x
  3. Step 3: Cross multiply
    153.01x = 229.60 × 152.55
  4. Step 4: Simplify right side
    153.01x = 35,025.67
  5. Step 5: Solve for x
    x = 35,025.67/153.01
  6. Step 6: Final answer
    x = 228.91

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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.