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Finding the Fourth Proportional to 595.86, 893.93 and 185.00

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Solution

The fourth proportional to 595.86, 893.93 and 185.00 is: 277.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.86 : 893.93 = 185.00 : x
  2. Step 2: Convert to fraction form
    595.86/893.93 = 185.00/x
  3. Step 3: Cross multiply
    595.86x = 893.93 × 185.00
  4. Step 4: Simplify right side
    595.86x = 165,373.04
  5. Step 5: Solve for x
    x = 165,373.04/595.86
  6. Step 6: Final answer
    x = 277.54

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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.