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Finding the Fourth Proportional to 258.02, 356.06 and 147.50

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Solution

The fourth proportional to 258.02, 356.06 and 147.50 is: 203.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.02 : 356.06 = 147.50 : x
  2. Step 2: Convert to fraction form
    258.02/356.06 = 147.50/x
  3. Step 3: Cross multiply
    258.02x = 356.06 × 147.50
  4. Step 4: Simplify right side
    258.02x = 52,516.33
  5. Step 5: Solve for x
    x = 52,516.33/258.02
  6. Step 6: Final answer
    x = 203.53

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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.