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Finding the Fourth Proportional to 178.25, 268.59 and 176.76

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Solution

The fourth proportional to 178.25, 268.59 and 176.76 is: 266.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.25 : 268.59 = 176.76 : x
  2. Step 2: Convert to fraction form
    178.25/268.59 = 176.76/x
  3. Step 3: Cross multiply
    178.25x = 268.59 × 176.76
  4. Step 4: Simplify right side
    178.25x = 47,476.63
  5. Step 5: Solve for x
    x = 47,476.63/178.25
  6. Step 6: Final answer
    x = 266.36

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.