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Finding the Fourth Proportional to 258.96, 356.96 and 176

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Solution

The fourth proportional to 258.96, 356.96 and 176 is: 242.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.96 : 356.96 = 176 : x
  2. Step 2: Convert to fraction form
    258.96/356.96 = 176/x
  3. Step 3: Cross multiply
    258.96x = 356.96 × 176
  4. Step 4: Simplify right side
    258.96x = 62,824.96
  5. Step 5: Solve for x
    x = 62,824.96/258.96
  6. Step 6: Final answer
    x = 242.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.