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Finding the Fourth Proportional to 295.06, 442.53 and 100.02

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Solution

The fourth proportional to 295.06, 442.53 and 100.02 is: 150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.06 : 442.53 = 100.02 : x
  2. Step 2: Convert to fraction form
    295.06/442.53 = 100.02/x
  3. Step 3: Cross multiply
    295.06x = 442.53 × 100.02
  4. Step 4: Simplify right side
    295.06x = 44,261.02
  5. Step 5: Solve for x
    x = 44,261.02/295.06
  6. Step 6: Final answer
    x = 150.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.