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Finding the Fourth Proportional to 228.13, 342.12 and 125.53

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Solution

The fourth proportional to 228.13, 342.12 and 125.53 is: 188.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.13 : 342.12 = 125.53 : x
  2. Step 2: Convert to fraction form
    228.13/342.12 = 125.53/x
  3. Step 3: Cross multiply
    228.13x = 342.12 × 125.53
  4. Step 4: Simplify right side
    228.13x = 42,946.32
  5. Step 5: Solve for x
    x = 42,946.32/228.13
  6. Step 6: Final answer
    x = 188.25

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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.