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Finding the Fourth Proportional to 351.64, 526.47 and 186.74

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Solution

The fourth proportional to 351.64, 526.47 and 186.74 is: 279.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.64 : 526.47 = 186.74 : x
  2. Step 2: Convert to fraction form
    351.64/526.47 = 186.74/x
  3. Step 3: Cross multiply
    351.64x = 526.47 × 186.74
  4. Step 4: Simplify right side
    351.64x = 98,310.38
  5. Step 5: Solve for x
    x = 98,310.38/351.64
  6. Step 6: Final answer
    x = 279.58

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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.