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Finding the Fourth Proportional to 532.90, 799.14 and 186.10

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Solution

The fourth proportional to 532.90, 799.14 and 186.10 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.90 : 799.14 = 186.10 : x
  2. Step 2: Convert to fraction form
    532.90/799.14 = 186.10/x
  3. Step 3: Cross multiply
    532.90x = 799.14 × 186.10
  4. Step 4: Simplify right side
    532.90x = 148,719.95
  5. Step 5: Solve for x
    x = 148,719.95/532.90
  6. Step 6: Final answer
    x = 279.08

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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.