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Finding the Fourth Proportional to 178.34, 245.95 and 116.14

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Solution

The fourth proportional to 178.34, 245.95 and 116.14 is: 160.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.34 : 245.95 = 116.14 : x
  2. Step 2: Convert to fraction form
    178.34/245.95 = 116.14/x
  3. Step 3: Cross multiply
    178.34x = 245.95 × 116.14
  4. Step 4: Simplify right side
    178.34x = 28,563.40
  5. Step 5: Solve for x
    x = 28,563.40/178.34
  6. Step 6: Final answer
    x = 160.17

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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.