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Finding the Fourth Proportional to 154.86, 233.27 and 146.18

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Solution

The fourth proportional to 154.86, 233.27 and 146.18 is: 220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.86 : 233.27 = 146.18 : x
  2. Step 2: Convert to fraction form
    154.86/233.27 = 146.18/x
  3. Step 3: Cross multiply
    154.86x = 233.27 × 146.18
  4. Step 4: Simplify right side
    154.86x = 34,097.51
  5. Step 5: Solve for x
    x = 34,097.51/154.86
  6. Step 6: Final answer
    x = 220.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.