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Finding the Fourth Proportional to 208.55, 312.84 and 117.32

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Solution

The fourth proportional to 208.55, 312.84 and 117.32 is: 175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.55 : 312.84 = 117.32 : x
  2. Step 2: Convert to fraction form
    208.55/312.84 = 117.32/x
  3. Step 3: Cross multiply
    208.55x = 312.84 × 117.32
  4. Step 4: Simplify right side
    208.55x = 36,703.13
  5. Step 5: Solve for x
    x = 36,703.13/208.55
  6. Step 6: Final answer
    x = 175.99

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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.