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Finding the Fourth Proportional to 556.64, 834.99 and 145.77

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Solution

The fourth proportional to 556.64, 834.99 and 145.77 is: 218.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.64 : 834.99 = 145.77 : x
  2. Step 2: Convert to fraction form
    556.64/834.99 = 145.77/x
  3. Step 3: Cross multiply
    556.64x = 834.99 × 145.77
  4. Step 4: Simplify right side
    556.64x = 121,716.49
  5. Step 5: Solve for x
    x = 121,716.49/556.64
  6. Step 6: Final answer
    x = 218.66

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