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Finding the Fourth Proportional to 189.95, 283.66 and 162.68

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Solution

The fourth proportional to 189.95, 283.66 and 162.68 is: 242.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.95 : 283.66 = 162.68 : x
  2. Step 2: Convert to fraction form
    189.95/283.66 = 162.68/x
  3. Step 3: Cross multiply
    189.95x = 283.66 × 162.68
  4. Step 4: Simplify right side
    189.95x = 46,145.81
  5. Step 5: Solve for x
    x = 46,145.81/189.95
  6. Step 6: Final answer
    x = 242.94

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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.