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Finding the Fourth Proportional to 178.49, 246.98 and 152.22

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Solution

The fourth proportional to 178.49, 246.98 and 152.22 is: 210.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.49 : 246.98 = 152.22 : x
  2. Step 2: Convert to fraction form
    178.49/246.98 = 152.22/x
  3. Step 3: Cross multiply
    178.49x = 246.98 × 152.22
  4. Step 4: Simplify right side
    178.49x = 37,595.04
  5. Step 5: Solve for x
    x = 37,595.04/178.49
  6. Step 6: Final answer
    x = 210.63

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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.