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Finding the Fourth Proportional to 504.90, 756.90 and 180.18

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Solution

The fourth proportional to 504.90, 756.90 and 180.18 is: 270.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.90 : 756.90 = 180.18 : x
  2. Step 2: Convert to fraction form
    504.90/756.90 = 180.18/x
  3. Step 3: Cross multiply
    504.90x = 756.90 × 180.18
  4. Step 4: Simplify right side
    504.90x = 136,378.24
  5. Step 5: Solve for x
    x = 136,378.24/504.90
  6. Step 6: Final answer
    x = 270.11

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