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Finding the Fourth Proportional to 280.14, 420.12 and 177.06

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Solution

The fourth proportional to 280.14, 420.12 and 177.06 is: 265.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.14 : 420.12 = 177.06 : x
  2. Step 2: Convert to fraction form
    280.14/420.12 = 177.06/x
  3. Step 3: Cross multiply
    280.14x = 420.12 × 177.06
  4. Step 4: Simplify right side
    280.14x = 74,386.45
  5. Step 5: Solve for x
    x = 74,386.45/280.14
  6. Step 6: Final answer
    x = 265.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.