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Finding the Fourth Proportional to 282.57, 390.06 and 177.81

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Solution

The fourth proportional to 282.57, 390.06 and 177.81 is: 245.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.57 : 390.06 = 177.81 : x
  2. Step 2: Convert to fraction form
    282.57/390.06 = 177.81/x
  3. Step 3: Cross multiply
    282.57x = 390.06 × 177.81
  4. Step 4: Simplify right side
    282.57x = 69,356.57
  5. Step 5: Solve for x
    x = 69,356.57/282.57
  6. Step 6: Final answer
    x = 245.45

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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.