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Finding the Fourth Proportional to 208.77, 312.55 and 117.35

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Solution

The fourth proportional to 208.77, 312.55 and 117.35 is: 175.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.77 : 312.55 = 117.35 : x
  2. Step 2: Convert to fraction form
    208.77/312.55 = 117.35/x
  3. Step 3: Cross multiply
    208.77x = 312.55 × 117.35
  4. Step 4: Simplify right side
    208.77x = 36,675.89
  5. Step 5: Solve for x
    x = 36,675.89/208.77
  6. Step 6: Final answer
    x = 175.68

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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.