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Finding the Fourth Proportional to 228.99, 342.95 and 180.57

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Solution

The fourth proportional to 228.99, 342.95 and 180.57 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.99 : 342.95 = 180.57 : x
  2. Step 2: Convert to fraction form
    228.99/342.95 = 180.57/x
  3. Step 3: Cross multiply
    228.99x = 342.95 × 180.57
  4. Step 4: Simplify right side
    228.99x = 61,925.58
  5. Step 5: Solve for x
    x = 61,925.58/228.99
  6. Step 6: Final answer
    x = 270.43

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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.