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Finding the Fourth Proportional to 153.55, 212.89 and 145.35

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Solution

The fourth proportional to 153.55, 212.89 and 145.35 is: 201.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.55 : 212.89 = 145.35 : x
  2. Step 2: Convert to fraction form
    153.55/212.89 = 145.35/x
  3. Step 3: Cross multiply
    153.55x = 212.89 × 145.35
  4. Step 4: Simplify right side
    153.55x = 30,943.56
  5. Step 5: Solve for x
    x = 30,943.56/153.55
  6. Step 6: Final answer
    x = 201.52

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.