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Finding the Fourth Proportional to 595.04, 892.57 and 184.18

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Solution

The fourth proportional to 595.04, 892.57 and 184.18 is: 276.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.04 : 892.57 = 184.18 : x
  2. Step 2: Convert to fraction form
    595.04/892.57 = 184.18/x
  3. Step 3: Cross multiply
    595.04x = 892.57 × 184.18
  4. Step 4: Simplify right side
    595.04x = 164,393.54
  5. Step 5: Solve for x
    x = 164,393.54/595.04
  6. Step 6: Final answer
    x = 276.28

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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.