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Finding the Fourth Proportional to 178.95, 246.79 and 152.82

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Solution

The fourth proportional to 178.95, 246.79 and 152.82 is: 210.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.95 : 246.79 = 152.82 : x
  2. Step 2: Convert to fraction form
    178.95/246.79 = 152.82/x
  3. Step 3: Cross multiply
    178.95x = 246.79 × 152.82
  4. Step 4: Simplify right side
    178.95x = 37,714.07
  5. Step 5: Solve for x
    x = 37,714.07/178.95
  6. Step 6: Final answer
    x = 210.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.