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Finding the Fourth Proportional to 295.16, 442.36 and 246.10

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Solution

The fourth proportional to 295.16, 442.36 and 246.10 is: 368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.16 : 442.36 = 246.10 : x
  2. Step 2: Convert to fraction form
    295.16/442.36 = 246.10/x
  3. Step 3: Cross multiply
    295.16x = 442.36 × 246.10
  4. Step 4: Simplify right side
    295.16x = 108,864.67
  5. Step 5: Solve for x
    x = 108,864.67/295.16
  6. Step 6: Final answer
    x = 368.84

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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.