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Finding the Fourth Proportional to 153.69, 228.96 and 144.39

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Solution

The fourth proportional to 153.69, 228.96 and 144.39 is: 215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.69 : 228.96 = 144.39 : x
  2. Step 2: Convert to fraction form
    153.69/228.96 = 144.39/x
  3. Step 3: Cross multiply
    153.69x = 228.96 × 144.39
  4. Step 4: Simplify right side
    153.69x = 33,059.53
  5. Step 5: Solve for x
    x = 33,059.53/153.69
  6. Step 6: Final answer
    x = 215.11

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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.