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Finding the Fourth Proportional to 184.55, 274.99 and 177.58

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Solution

The fourth proportional to 184.55, 274.99 and 177.58 is: 264.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.55 : 274.99 = 177.58 : x
  2. Step 2: Convert to fraction form
    184.55/274.99 = 177.58/x
  3. Step 3: Cross multiply
    184.55x = 274.99 × 177.58
  4. Step 4: Simplify right side
    184.55x = 48,831.35
  5. Step 5: Solve for x
    x = 48,831.35/184.55
  6. Step 6: Final answer
    x = 264.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.