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Finding the Fourth Proportional to 178.51, 266.30 and 158.26

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Solution

The fourth proportional to 178.51, 266.30 and 158.26 is: 236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.51 : 266.30 = 158.26 : x
  2. Step 2: Convert to fraction form
    178.51/266.30 = 158.26/x
  3. Step 3: Cross multiply
    178.51x = 266.30 × 158.26
  4. Step 4: Simplify right side
    178.51x = 42,144.64
  5. Step 5: Solve for x
    x = 42,144.64/178.51
  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.