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Finding the Fourth Proportional to 153.39, 228.64 and 144.03

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Solution

The fourth proportional to 153.39, 228.64 and 144.03 is: 214.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.39 : 228.64 = 144.03 : x
  2. Step 2: Convert to fraction form
    153.39/228.64 = 144.03/x
  3. Step 3: Cross multiply
    153.39x = 228.64 × 144.03
  4. Step 4: Simplify right side
    153.39x = 32,930.66
  5. Step 5: Solve for x
    x = 32,930.66/153.39
  6. Step 6: Final answer
    x = 214.69

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Why These Related Problems?

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