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Finding the Fourth Proportional to 282, 389.16 and 165.58

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Solution

The fourth proportional to 282, 389.16 and 165.58 is: 228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    282 : 389.16 = 165.58 : x
  2. Step 2: Convert to fraction form
    282/389.16 = 165.58/x
  3. Step 3: Cross multiply
    282x = 389.16 × 165.58
  4. Step 4: Simplify right side
    282x = 64,437.11
  5. Step 5: Solve for x
    x = 64,437.11/282
  6. Step 6: Final answer
    x = 228.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.