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Finding the Fourth Proportional to 295.03, 442.64 and 173.53

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Solution

The fourth proportional to 295.03, 442.64 and 173.53 is: 260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.03 : 442.64 = 173.53 : x
  2. Step 2: Convert to fraction form
    295.03/442.64 = 173.53/x
  3. Step 3: Cross multiply
    295.03x = 442.64 × 173.53
  4. Step 4: Simplify right side
    295.03x = 76,811.32
  5. Step 5: Solve for x
    x = 76,811.32/295.03
  6. Step 6: Final answer
    x = 260.35

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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.