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Finding the Fourth Proportional to 178.51, 246.36 and 116.32

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Solution

The fourth proportional to 178.51, 246.36 and 116.32 is: 160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.51 : 246.36 = 116.32 : x
  2. Step 2: Convert to fraction form
    178.51/246.36 = 116.32/x
  3. Step 3: Cross multiply
    178.51x = 246.36 × 116.32
  4. Step 4: Simplify right side
    178.51x = 28,656.60
  5. Step 5: Solve for x
    x = 28,656.60/178.51
  6. Step 6: Final answer
    x = 160.53

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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.