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Finding the Fourth Proportional to 188.16, 259.66 and 110.53

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Solution

The fourth proportional to 188.16, 259.66 and 110.53 is: 152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.16 : 259.66 = 110.53 : x
  2. Step 2: Convert to fraction form
    188.16/259.66 = 110.53/x
  3. Step 3: Cross multiply
    188.16x = 259.66 × 110.53
  4. Step 4: Simplify right side
    188.16x = 28,700.68
  5. Step 5: Solve for x
    x = 28,700.68/188.16
  6. Step 6: Final answer
    x = 152.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.