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Finding the Fourth Proportional to 509.91, 765.13 and 185.50

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Solution

The fourth proportional to 509.91, 765.13 and 185.50 is: 278.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.91 : 765.13 = 185.50 : x
  2. Step 2: Convert to fraction form
    509.91/765.13 = 185.50/x
  3. Step 3: Cross multiply
    509.91x = 765.13 × 185.50
  4. Step 4: Simplify right side
    509.91x = 141,931.62
  5. Step 5: Solve for x
    x = 141,931.62/509.91
  6. Step 6: Final answer
    x = 278.35

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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.