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Finding the Fourth Proportional to 177.59, 264.62 and 158.45

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Solution

The fourth proportional to 177.59, 264.62 and 158.45 is: 236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.59 : 264.62 = 158.45 : x
  2. Step 2: Convert to fraction form
    177.59/264.62 = 158.45/x
  3. Step 3: Cross multiply
    177.59x = 264.62 × 158.45
  4. Step 4: Simplify right side
    177.59x = 41,928.11
  5. Step 5: Solve for x
    x = 41,928.11/177.59
  6. Step 6: Final answer
    x = 236.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.