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Finding the Fourth Proportional to 339.64, 509.48 and 157.04

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Solution

The fourth proportional to 339.64, 509.48 and 157.04 is: 235.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.64 : 509.48 = 157.04 : x
  2. Step 2: Convert to fraction form
    339.64/509.48 = 157.04/x
  3. Step 3: Cross multiply
    339.64x = 509.48 × 157.04
  4. Step 4: Simplify right side
    339.64x = 80,008.74
  5. Step 5: Solve for x
    x = 80,008.74/339.64
  6. Step 6: Final answer
    x = 235.57

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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.