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Finding the Fourth Proportional to 260.04, 389.87 and 157.30

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Solution

The fourth proportional to 260.04, 389.87 and 157.30 is: 235.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.04 : 389.87 = 157.30 : x
  2. Step 2: Convert to fraction form
    260.04/389.87 = 157.30/x
  3. Step 3: Cross multiply
    260.04x = 389.87 × 157.30
  4. Step 4: Simplify right side
    260.04x = 61,328.46
  5. Step 5: Solve for x
    x = 61,328.46/260.04
  6. Step 6: Final answer
    x = 235.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.