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Finding the Fourth Proportional to 260.81, 390.88 and 123.58

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Solution

The fourth proportional to 260.81, 390.88 and 123.58 is: 185.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.81 : 390.88 = 123.58 : x
  2. Step 2: Convert to fraction form
    260.81/390.88 = 123.58/x
  3. Step 3: Cross multiply
    260.81x = 390.88 × 123.58
  4. Step 4: Simplify right side
    260.81x = 48,302.38
  5. Step 5: Solve for x
    x = 48,302.38/260.81
  6. Step 6: Final answer
    x = 185.20

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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.