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Finding the Fourth Proportional to 154.40, 216.70 and 154.40

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Solution

The fourth proportional to 154.40, 216.70 and 154.40 is: 216.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.40 : 216.70 = 154.40 : x
  2. Step 2: Convert to fraction form
    154.40/216.70 = 154.40/x
  3. Step 3: Cross multiply
    154.40x = 216.70 × 154.40
  4. Step 4: Simplify right side
    154.40x = 33,458.48
  5. Step 5: Solve for x
    x = 33,458.48/154.40
  6. Step 6: Final answer
    x = 216.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.