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Finding the Fourth Proportional to 153.06, 228.70 and 134.61

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Solution

The fourth proportional to 153.06, 228.70 and 134.61 is: 201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.06 : 228.70 = 134.61 : x
  2. Step 2: Convert to fraction form
    153.06/228.70 = 134.61/x
  3. Step 3: Cross multiply
    153.06x = 228.70 × 134.61
  4. Step 4: Simplify right side
    153.06x = 30,783.83
  5. Step 5: Solve for x
    x = 30,783.83/153.06
  6. Step 6: Final answer
    x = 201.13

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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.