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Finding the Fourth Proportional to 510.02, 764.57 and 185.16

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Solution

The fourth proportional to 510.02, 764.57 and 185.16 is: 277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.02 : 764.57 = 185.16 : x
  2. Step 2: Convert to fraction form
    510.02/764.57 = 185.16/x
  3. Step 3: Cross multiply
    510.02x = 764.57 × 185.16
  4. Step 4: Simplify right side
    510.02x = 141,563.99
  5. Step 5: Solve for x
    x = 141,563.99/510.02
  6. Step 6: Final answer
    x = 277.57

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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.