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Finding the Fourth Proportional to 260.65, 359.70 and 150.13

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Solution

The fourth proportional to 260.65, 359.70 and 150.13 is: 207.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.65 : 359.70 = 150.13 : x
  2. Step 2: Convert to fraction form
    260.65/359.70 = 150.13/x
  3. Step 3: Cross multiply
    260.65x = 359.70 × 150.13
  4. Step 4: Simplify right side
    260.65x = 53,999.21
  5. Step 5: Solve for x
    x = 53,999.21/260.65
  6. Step 6: Final answer
    x = 207.17

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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.