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Finding the Fourth Proportional to 353.95, 530.07 and 180.16

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Solution

The fourth proportional to 353.95, 530.07 and 180.16 is: 269.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.95 : 530.07 = 180.16 : x
  2. Step 2: Convert to fraction form
    353.95/530.07 = 180.16/x
  3. Step 3: Cross multiply
    353.95x = 530.07 × 180.16
  4. Step 4: Simplify right side
    353.95x = 95,497.41
  5. Step 5: Solve for x
    x = 95,497.41/353.95
  6. Step 6: Final answer
    x = 269.80

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Why These Related Problems?

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