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Finding the Fourth Proportional to 218.94, 328.04 and 116.07

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Solution

The fourth proportional to 218.94, 328.04 and 116.07 is: 173.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.94 : 328.04 = 116.07 : x
  2. Step 2: Convert to fraction form
    218.94/328.04 = 116.07/x
  3. Step 3: Cross multiply
    218.94x = 328.04 × 116.07
  4. Step 4: Simplify right side
    218.94x = 38,075.02
  5. Step 5: Solve for x
    x = 38,075.02/218.94
  6. Step 6: Final answer
    x = 173.91

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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.