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Finding the Fourth Proportional to 595.65, 893.47 and 162.81

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Solution

The fourth proportional to 595.65, 893.47 and 162.81 is: 244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.65 : 893.47 = 162.81 : x
  2. Step 2: Convert to fraction form
    595.65/893.47 = 162.81/x
  3. Step 3: Cross multiply
    595.65x = 893.47 × 162.81
  4. Step 4: Simplify right side
    595.65x = 145,465.85
  5. Step 5: Solve for x
    x = 145,465.85/595.65
  6. Step 6: Final answer
    x = 244.21

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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.