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Finding the Fourth Proportional to 258.65, 356.95 and 148.12

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Solution

The fourth proportional to 258.65, 356.95 and 148.12 is: 204.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.65 : 356.95 = 148.12 : x
  2. Step 2: Convert to fraction form
    258.65/356.95 = 148.12/x
  3. Step 3: Cross multiply
    258.65x = 356.95 × 148.12
  4. Step 4: Simplify right side
    258.65x = 52,870.84
  5. Step 5: Solve for x
    x = 52,870.84/258.65
  6. Step 6: Final answer
    x = 204.41

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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.