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Finding the Fourth Proportional to 507.36, 760.98 and 142.18

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Solution

The fourth proportional to 507.36, 760.98 and 142.18 is: 213.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.36 : 760.98 = 142.18 : x
  2. Step 2: Convert to fraction form
    507.36/760.98 = 142.18/x
  3. Step 3: Cross multiply
    507.36x = 760.98 × 142.18
  4. Step 4: Simplify right side
    507.36x = 108,196.11
  5. Step 5: Solve for x
    x = 108,196.11/507.36
  6. Step 6: Final answer
    x = 213.25

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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.