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Finding the Fourth Proportional to 507.84, 761.70 and 183.18

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Solution

The fourth proportional to 507.84, 761.70 and 183.18 is: 274.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.84 : 761.70 = 183.18 : x
  2. Step 2: Convert to fraction form
    507.84/761.70 = 183.18/x
  3. Step 3: Cross multiply
    507.84x = 761.70 × 183.18
  4. Step 4: Simplify right side
    507.84x = 139,528.21
  5. Step 5: Solve for x
    x = 139,528.21/507.84
  6. Step 6: Final answer
    x = 274.75

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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.