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Finding the Fourth Proportional to 154.50, 211.80 and 146.40

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Solution

The fourth proportional to 154.50, 211.80 and 146.40 is: 200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.50 : 211.80 = 146.40 : x
  2. Step 2: Convert to fraction form
    154.50/211.80 = 146.40/x
  3. Step 3: Cross multiply
    154.50x = 211.80 × 146.40
  4. Step 4: Simplify right side
    154.50x = 31,007.52
  5. Step 5: Solve for x
    x = 31,007.52/154.50
  6. Step 6: Final answer
    x = 200.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.