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Finding the Fourth Proportional to 258.29, 356.41 and 147.77

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Solution

The fourth proportional to 258.29, 356.41 and 147.77 is: 203.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.29 : 356.41 = 147.77 : x
  2. Step 2: Convert to fraction form
    258.29/356.41 = 147.77/x
  3. Step 3: Cross multiply
    258.29x = 356.41 × 147.77
  4. Step 4: Simplify right side
    258.29x = 52,666.71
  5. Step 5: Solve for x
    x = 52,666.71/258.29
  6. Step 6: Final answer
    x = 203.91

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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.