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Finding the Fourth Proportional to 189.64, 282.83 and 186.40

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Solution

The fourth proportional to 189.64, 282.83 and 186.40 is: 278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.64 : 282.83 = 186.40 : x
  2. Step 2: Convert to fraction form
    189.64/282.83 = 186.40/x
  3. Step 3: Cross multiply
    189.64x = 282.83 × 186.40
  4. Step 4: Simplify right side
    189.64x = 52,719.51
  5. Step 5: Solve for x
    x = 52,719.51/189.64
  6. Step 6: Final answer
    x = 278.00

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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.