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Finding the Fourth Proportional to 535.90, 803.64 and 189.10

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Solution

The fourth proportional to 535.90, 803.64 and 189.10 is: 283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.90 : 803.64 = 189.10 : x
  2. Step 2: Convert to fraction form
    535.90/803.64 = 189.10/x
  3. Step 3: Cross multiply
    535.90x = 803.64 × 189.10
  4. Step 4: Simplify right side
    535.90x = 151,968.32
  5. Step 5: Solve for x
    x = 151,968.32/535.90
  6. Step 6: Final answer
    x = 283.58

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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.