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Finding the Fourth Proportional to 180.16, 268.53 and 174.24

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Solution

The fourth proportional to 180.16, 268.53 and 174.24 is: 259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.16 : 268.53 = 174.24 : x
  2. Step 2: Convert to fraction form
    180.16/268.53 = 174.24/x
  3. Step 3: Cross multiply
    180.16x = 268.53 × 174.24
  4. Step 4: Simplify right side
    180.16x = 46,787.32
  5. Step 5: Solve for x
    x = 46,787.32/180.16
  6. Step 6: Final answer
    x = 259.70

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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.