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Finding the Fourth Proportional to 295.58, 442.65 and 180.08

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Solution

The fourth proportional to 295.58, 442.65 and 180.08 is: 269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.58 : 442.65 = 180.08 : x
  2. Step 2: Convert to fraction form
    295.58/442.65 = 180.08/x
  3. Step 3: Cross multiply
    295.58x = 442.65 × 180.08
  4. Step 4: Simplify right side
    295.58x = 79,712.41
  5. Step 5: Solve for x
    x = 79,712.41/295.58
  6. Step 6: Final answer
    x = 269.68

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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.