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Finding the Fourth Proportional to 180.48, 268.98 and 177.24

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Solution

The fourth proportional to 180.48, 268.98 and 177.24 is: 264.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.48 : 268.98 = 177.24 : x
  2. Step 2: Convert to fraction form
    180.48/268.98 = 177.24/x
  3. Step 3: Cross multiply
    180.48x = 268.98 × 177.24
  4. Step 4: Simplify right side
    180.48x = 47,674.02
  5. Step 5: Solve for x
    x = 47,674.02/180.48
  6. Step 6: Final answer
    x = 264.15

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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.