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Finding the Fourth Proportional to 153.19, 228.74 and 135.10

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Solution

The fourth proportional to 153.19, 228.74 and 135.10 is: 201.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.19 : 228.74 = 135.10 : x
  2. Step 2: Convert to fraction form
    153.19/228.74 = 135.10/x
  3. Step 3: Cross multiply
    153.19x = 228.74 × 135.10
  4. Step 4: Simplify right side
    153.19x = 30,902.77
  5. Step 5: Solve for x
    x = 30,902.77/153.19
  6. Step 6: Final answer
    x = 201.73

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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.