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Finding the Fourth Proportional to 526.61, 790.01 and 179.98

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Solution

The fourth proportional to 526.61, 790.01 and 179.98 is: 270.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.61 : 790.01 = 179.98 : x
  2. Step 2: Convert to fraction form
    526.61/790.01 = 179.98/x
  3. Step 3: Cross multiply
    526.61x = 790.01 × 179.98
  4. Step 4: Simplify right side
    526.61x = 142,185.55
  5. Step 5: Solve for x
    x = 142,185.55/526.61
  6. Step 6: Final answer
    x = 270.00

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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.